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Finding the Fourth Proportional to 2,711.47, 3,742.02 and 1,532.65

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Solution

The fourth proportional to 2,711.47, 3,742.02 and 1,532.65 is: 2,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.47 : 3,742.02 = 1,532.65 : x
  2. Step 2: Convert to fraction form
    2,711.47/3,742.02 = 1,532.65/x
  3. Step 3: Cross multiply
    2,711.47x = 3,742.02 × 1,532.65
  4. Step 4: Simplify right side
    2,711.47x = 5,735,206.95
  5. Step 5: Solve for x
    x = 5,735,206.95/2,711.47
  6. Step 6: Final answer
    x = 2,115.17

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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.