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Finding the Fourth Proportional to 2,711.66, 3,742.09 and 1,532.71

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Solution

The fourth proportional to 2,711.66, 3,742.09 and 1,532.71 is: 2,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.66 : 3,742.09 = 1,532.71 : x
  2. Step 2: Convert to fraction form
    2,711.66/3,742.09 = 1,532.71/x
  3. Step 3: Cross multiply
    2,711.66x = 3,742.09 × 1,532.71
  4. Step 4: Simplify right side
    2,711.66x = 5,735,538.76
  5. Step 5: Solve for x
    x = 5,735,538.76/2,711.66
  6. Step 6: Final answer
    x = 2,115.14

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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.