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Finding the Fourth Proportional to 8,437.44, 12,654.72 and 2,280

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Solution

The fourth proportional to 8,437.44, 12,654.72 and 2,280 is: 3,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.44 : 12,654.72 = 2,280 : x
  2. Step 2: Convert to fraction form
    8,437.44/12,654.72 = 2,280/x
  3. Step 3: Cross multiply
    8,437.44x = 12,654.72 × 2,280
  4. Step 4: Simplify right side
    8,437.44x = 28,852,761.60
  5. Step 5: Solve for x
    x = 28,852,761.60/8,437.44
  6. Step 6: Final answer
    x = 3,419.61

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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.