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Finding the Fourth Proportional to 8,762, 13,142.52 and 3,572.24

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Solution

The fourth proportional to 8,762, 13,142.52 and 3,572.24 is: 5,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762 : 13,142.52 = 3,572.24 : x
  2. Step 2: Convert to fraction form
    8,762/13,142.52 = 3,572.24/x
  3. Step 3: Cross multiply
    8,762x = 13,142.52 × 3,572.24
  4. Step 4: Simplify right side
    8,762x = 46,948,235.64
  5. Step 5: Solve for x
    x = 46,948,235.64/8,762
  6. Step 6: Final answer
    x = 5,358.16

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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.