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Finding the Fourth Proportional to 9,681.30, 14,489.55 and 8,514.90

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Solution

The fourth proportional to 9,681.30, 14,489.55 and 8,514.90 is: 12,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.30 : 14,489.55 = 8,514.90 : x
  2. Step 2: Convert to fraction form
    9,681.30/14,489.55 = 8,514.90/x
  3. Step 3: Cross multiply
    9,681.30x = 14,489.55 × 8,514.90
  4. Step 4: Simplify right side
    9,681.30x = 123,377,069.30
  5. Step 5: Solve for x
    x = 123,377,069.30/9,681.30
  6. Step 6: Final answer
    x = 12,743.85

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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.