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Finding the Fourth Proportional to 8,442.69, 12,661.80 and 2,517.96

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Solution

The fourth proportional to 8,442.69, 12,661.80 and 2,517.96 is: 3,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.69 : 12,661.80 = 2,517.96 : x
  2. Step 2: Convert to fraction form
    8,442.69/12,661.80 = 2,517.96/x
  3. Step 3: Cross multiply
    8,442.69x = 12,661.80 × 2,517.96
  4. Step 4: Simplify right side
    8,442.69x = 31,881,905.93
  5. Step 5: Solve for x
    x = 31,881,905.93/8,442.69
  6. Step 6: Final answer
    x = 3,776.27

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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.