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Finding the Fourth Proportional to 8,428.52, 12,640.44 and 2,581.88

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Solution

The fourth proportional to 8,428.52, 12,640.44 and 2,581.88 is: 3,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.52 : 12,640.44 = 2,581.88 : x
  2. Step 2: Convert to fraction form
    8,428.52/12,640.44 = 2,581.88/x
  3. Step 3: Cross multiply
    8,428.52x = 12,640.44 × 2,581.88
  4. Step 4: Simplify right side
    8,428.52x = 32,636,099.23
  5. Step 5: Solve for x
    x = 32,636,099.23/8,428.52
  6. Step 6: Final answer
    x = 3,872.10

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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.