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Finding the Fourth Proportional to 5,287.52, 7,932.52 and 2,821.04

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Solution

The fourth proportional to 5,287.52, 7,932.52 and 2,821.04 is: 4,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.52 : 7,932.52 = 2,821.04 : x
  2. Step 2: Convert to fraction form
    5,287.52/7,932.52 = 2,821.04/x
  3. Step 3: Cross multiply
    5,287.52x = 7,932.52 × 2,821.04
  4. Step 4: Simplify right side
    5,287.52x = 22,377,956.22
  5. Step 5: Solve for x
    x = 22,377,956.22/5,287.52
  6. Step 6: Final answer
    x = 4,232.22

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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.