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Finding the Fourth Proportional to 8,321.28, 12,480 and 3,127.68

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Solution

The fourth proportional to 8,321.28, 12,480 and 3,127.68 is: 4,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.28 : 12,480 = 3,127.68 : x
  2. Step 2: Convert to fraction form
    8,321.28/12,480 = 3,127.68/x
  3. Step 3: Cross multiply
    8,321.28x = 12,480 × 3,127.68
  4. Step 4: Simplify right side
    8,321.28x = 39,033,446.40
  5. Step 5: Solve for x
    x = 39,033,446.40/8,321.28
  6. Step 6: Final answer
    x = 4,690.80

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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.