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Finding the Fourth Proportional to 9,642.51, 13,298.58 and 7,649.91

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Solution

The fourth proportional to 9,642.51, 13,298.58 and 7,649.91 is: 10,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.51 : 13,298.58 = 7,649.91 : x
  2. Step 2: Convert to fraction form
    9,642.51/13,298.58 = 7,649.91/x
  3. Step 3: Cross multiply
    9,642.51x = 13,298.58 × 7,649.91
  4. Step 4: Simplify right side
    9,642.51x = 101,732,940.13
  5. Step 5: Solve for x
    x = 101,732,940.13/9,642.51
  6. Step 6: Final answer
    x = 10,550.46

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Half scale
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Double scale
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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.