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Finding the Fourth Proportional to 8,625.20, 12,916.20 and 5,687.60

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Solution

The fourth proportional to 8,625.20, 12,916.20 and 5,687.60 is: 8,517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625.20 : 12,916.20 = 5,687.60 : x
  2. Step 2: Convert to fraction form
    8,625.20/12,916.20 = 5,687.60/x
  3. Step 3: Cross multiply
    8,625.20x = 12,916.20 × 5,687.60
  4. Step 4: Simplify right side
    8,625.20x = 73,462,179.12
  5. Step 5: Solve for x
    x = 73,462,179.12/8,625.20
  6. Step 6: Final answer
    x = 8,517.16

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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.