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Finding the Fourth Proportional to 10,489.40, 15,755.97 and 6,115.40

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Solution

The fourth proportional to 10,489.40, 15,755.97 and 6,115.40 is: 9,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.40 : 15,755.97 = 6,115.40 : x
  2. Step 2: Convert to fraction form
    10,489.40/15,755.97 = 6,115.40/x
  3. Step 3: Cross multiply
    10,489.40x = 15,755.97 × 6,115.40
  4. Step 4: Simplify right side
    10,489.40x = 96,353,980.16
  5. Step 5: Solve for x
    x = 96,353,980.16/10,489.40
  6. Step 6: Final answer
    x = 9,185.85

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1.5x scale

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.