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Finding the Fourth Proportional to 8,132.40, 12,200.40 and 3,748.80

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Solution

The fourth proportional to 8,132.40, 12,200.40 and 3,748.80 is: 5,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.40 : 12,200.40 = 3,748.80 : x
  2. Step 2: Convert to fraction form
    8,132.40/12,200.40 = 3,748.80/x
  3. Step 3: Cross multiply
    8,132.40x = 12,200.40 × 3,748.80
  4. Step 4: Simplify right side
    8,132.40x = 45,736,859.52
  5. Step 5: Solve for x
    x = 45,736,859.52/8,132.40
  6. Step 6: Final answer
    x = 5,624.03

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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.