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Finding the Fourth Proportional to 7,498.96, 10,342.97 and 6,649.20

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Solution

The fourth proportional to 7,498.96, 10,342.97 and 6,649.20 is: 9,170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.96 : 10,342.97 = 6,649.20 : x
  2. Step 2: Convert to fraction form
    7,498.96/10,342.97 = 6,649.20/x
  3. Step 3: Cross multiply
    7,498.96x = 10,342.97 × 6,649.20
  4. Step 4: Simplify right side
    7,498.96x = 68,772,476.12
  5. Step 5: Solve for x
    x = 68,772,476.12/7,498.96
  6. Step 6: Final answer
    x = 9,170.94

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Half scale
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Double scale
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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.