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Finding the Fourth Proportional to 13,131, 18,120.78 and 7,542

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Solution

The fourth proportional to 13,131, 18,120.78 and 7,542 is: 10,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,131 : 18,120.78 = 7,542 : x
  2. Step 2: Convert to fraction form
    13,131/18,120.78 = 7,542/x
  3. Step 3: Cross multiply
    13,131x = 18,120.78 × 7,542
  4. Step 4: Simplify right side
    13,131x = 136,666,922.76
  5. Step 5: Solve for x
    x = 136,666,922.76/13,131
  6. Step 6: Final answer
    x = 10,407.96

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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.