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Finding the Fourth Proportional to 9,124.56, 13,691.09 and 8,977.14

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Solution

The fourth proportional to 9,124.56, 13,691.09 and 8,977.14 is: 13,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.56 : 13,691.09 = 8,977.14 : x
  2. Step 2: Convert to fraction form
    9,124.56/13,691.09 = 8,977.14/x
  3. Step 3: Cross multiply
    9,124.56x = 13,691.09 × 8,977.14
  4. Step 4: Simplify right side
    9,124.56x = 122,906,831.68
  5. Step 5: Solve for x
    x = 122,906,831.68/9,124.56
  6. Step 6: Final answer
    x = 13,469.89

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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.