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Finding the Fourth Proportional to 8,280.72, 12,411.36 and 3,654

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Solution

The fourth proportional to 8,280.72, 12,411.36 and 3,654 is: 5,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.72 : 12,411.36 = 3,654 : x
  2. Step 2: Convert to fraction form
    8,280.72/12,411.36 = 3,654/x
  3. Step 3: Cross multiply
    8,280.72x = 12,411.36 × 3,654
  4. Step 4: Simplify right side
    8,280.72x = 45,351,109.44
  5. Step 5: Solve for x
    x = 45,351,109.44/8,280.72
  6. Step 6: Final answer
    x = 5,476.71

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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.