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Finding the Fourth Proportional to 9,139.50, 13,711.68 and 3,944.16

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Solution

The fourth proportional to 9,139.50, 13,711.68 and 3,944.16 is: 5,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.50 : 13,711.68 = 3,944.16 : x
  2. Step 2: Convert to fraction form
    9,139.50/13,711.68 = 3,944.16/x
  3. Step 3: Cross multiply
    9,139.50x = 13,711.68 × 3,944.16
  4. Step 4: Simplify right side
    9,139.50x = 54,081,059.79
  5. Step 5: Solve for x
    x = 54,081,059.79/9,139.50
  6. Step 6: Final answer
    x = 5,917.29

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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.