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Finding the Fourth Proportional to 8,609.49, 12,906.95 and 3,412.53

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Solution

The fourth proportional to 8,609.49, 12,906.95 and 3,412.53 is: 5,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.49 : 12,906.95 = 3,412.53 : x
  2. Step 2: Convert to fraction form
    8,609.49/12,906.95 = 3,412.53/x
  3. Step 3: Cross multiply
    8,609.49x = 12,906.95 × 3,412.53
  4. Step 4: Simplify right side
    8,609.49x = 44,045,337.02
  5. Step 5: Solve for x
    x = 44,045,337.02/8,609.49
  6. Step 6: Final answer
    x = 5,115.91

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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.