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Finding the Fourth Proportional to 11,678.92, 16,117.22 and 6,642.97

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Solution

The fourth proportional to 11,678.92, 16,117.22 and 6,642.97 is: 9,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.92 : 16,117.22 = 6,642.97 : x
  2. Step 2: Convert to fraction form
    11,678.92/16,117.22 = 6,642.97/x
  3. Step 3: Cross multiply
    11,678.92x = 16,117.22 × 6,642.97
  4. Step 4: Simplify right side
    11,678.92x = 107,066,208.94
  5. Step 5: Solve for x
    x = 107,066,208.94/11,678.92
  6. Step 6: Final answer
    x = 9,167.48

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Half scale
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Double scale
Find fourth proportional to 11,679.92, 16,118.60 and 6,643.97
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.