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Finding the Fourth Proportional to 8,580.62, 12,892.50 and 5,462.02

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Solution

The fourth proportional to 8,580.62, 12,892.50 and 5,462.02 is: 8,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.62 : 12,892.50 = 5,462.02 : x
  2. Step 2: Convert to fraction form
    8,580.62/12,892.50 = 5,462.02/x
  3. Step 3: Cross multiply
    8,580.62x = 12,892.50 × 5,462.02
  4. Step 4: Simplify right side
    8,580.62x = 70,419,092.85
  5. Step 5: Solve for x
    x = 70,419,092.85/8,580.62
  6. Step 6: Final answer
    x = 8,206.76

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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.