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Finding the Fourth Proportional to 9,139.71, 13,711.01 and 3,874.74

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Solution

The fourth proportional to 9,139.71, 13,711.01 and 3,874.74 is: 5,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.71 : 13,711.01 = 3,874.74 : x
  2. Step 2: Convert to fraction form
    9,139.71/13,711.01 = 3,874.74/x
  3. Step 3: Cross multiply
    9,139.71x = 13,711.01 × 3,874.74
  4. Step 4: Simplify right side
    9,139.71x = 53,126,579.51
  5. Step 5: Solve for x
    x = 53,126,579.51/9,139.71
  6. Step 6: Final answer
    x = 5,812.72

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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.