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Finding the Fourth Proportional to 8,430.72, 12,624 and 5,500.80

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Solution

The fourth proportional to 8,430.72, 12,624 and 5,500.80 is: 8,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.72 : 12,624 = 5,500.80 : x
  2. Step 2: Convert to fraction form
    8,430.72/12,624 = 5,500.80/x
  3. Step 3: Cross multiply
    8,430.72x = 12,624 × 5,500.80
  4. Step 4: Simplify right side
    8,430.72x = 69,442,099.20
  5. Step 5: Solve for x
    x = 69,442,099.20/8,430.72
  6. Step 6: Final answer
    x = 8,236.79

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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.