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Finding the Fourth Proportional to 11,489.74, 15,855.24 and 6,454.17

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Solution

The fourth proportional to 11,489.74, 15,855.24 and 6,454.17 is: 8,906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.74 : 15,855.24 = 6,454.17 : x
  2. Step 2: Convert to fraction form
    11,489.74/15,855.24 = 6,454.17/x
  3. Step 3: Cross multiply
    11,489.74x = 15,855.24 × 6,454.17
  4. Step 4: Simplify right side
    11,489.74x = 102,332,438.55
  5. Step 5: Solve for x
    x = 102,332,438.55/11,489.74
  6. Step 6: Final answer
    x = 8,906.42

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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.