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Finding the Fourth Proportional to 10,489.91, 15,734.91 and 4,250.04

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Solution

The fourth proportional to 10,489.91, 15,734.91 and 4,250.04 is: 6,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.91 : 15,734.91 = 4,250.04 : x
  2. Step 2: Convert to fraction form
    10,489.91/15,734.91 = 4,250.04/x
  3. Step 3: Cross multiply
    10,489.91x = 15,734.91 × 4,250.04
  4. Step 4: Simplify right side
    10,489.91x = 66,874,047.93
  5. Step 5: Solve for x
    x = 66,874,047.93/10,489.91
  6. Step 6: Final answer
    x = 6,375.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.