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Finding the Fourth Proportional to 8,609.30, 12,909.70 and 3,061.82

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Solution

The fourth proportional to 8,609.30, 12,909.70 and 3,061.82 is: 4,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.30 : 12,909.70 = 3,061.82 : x
  2. Step 2: Convert to fraction form
    8,609.30/12,909.70 = 3,061.82/x
  3. Step 3: Cross multiply
    8,609.30x = 12,909.70 × 3,061.82
  4. Step 4: Simplify right side
    8,609.30x = 39,527,177.65
  5. Step 5: Solve for x
    x = 39,527,177.65/8,609.30
  6. Step 6: Final answer
    x = 4,591.22

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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.