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Finding the Fourth Proportional to 12,604.92, 17,387.58 and 7,881

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Solution

The fourth proportional to 12,604.92, 17,387.58 and 7,881 is: 10,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.92 : 17,387.58 = 7,881 : x
  2. Step 2: Convert to fraction form
    12,604.92/17,387.58 = 7,881/x
  3. Step 3: Cross multiply
    12,604.92x = 17,387.58 × 7,881
  4. Step 4: Simplify right side
    12,604.92x = 137,031,517.98
  5. Step 5: Solve for x
    x = 137,031,517.98/12,604.92
  6. Step 6: Final answer
    x = 10,871.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.