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Finding the Fourth Proportional to 9,385.52, 14,080.20 and 3,542

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Solution

The fourth proportional to 9,385.52, 14,080.20 and 3,542 is: 5,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.52 : 14,080.20 = 3,542 : x
  2. Step 2: Convert to fraction form
    9,385.52/14,080.20 = 3,542/x
  3. Step 3: Cross multiply
    9,385.52x = 14,080.20 × 3,542
  4. Step 4: Simplify right side
    9,385.52x = 49,872,068.40
  5. Step 5: Solve for x
    x = 49,872,068.40/9,385.52
  6. Step 6: Final answer
    x = 5,313.72

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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.