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Finding the Fourth Proportional to 9,239.52, 13,872.11 and 6,421.71

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Solution

The fourth proportional to 9,239.52, 13,872.11 and 6,421.71 is: 9,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.52 : 13,872.11 = 6,421.71 : x
  2. Step 2: Convert to fraction form
    9,239.52/13,872.11 = 6,421.71/x
  3. Step 3: Cross multiply
    9,239.52x = 13,872.11 × 6,421.71
  4. Step 4: Simplify right side
    9,239.52x = 89,082,635.40
  5. Step 5: Solve for x
    x = 89,082,635.40/9,239.52
  6. Step 6: Final answer
    x = 9,641.48

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1.5x scale

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.