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Finding the Fourth Proportional to 12,361, 18,543.42 and 4,154.92

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Solution

The fourth proportional to 12,361, 18,543.42 and 4,154.92 is: 6,233.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361 : 18,543.42 = 4,154.92 : x
  2. Step 2: Convert to fraction form
    12,361/18,543.42 = 4,154.92/x
  3. Step 3: Cross multiply
    12,361x = 18,543.42 × 4,154.92
  4. Step 4: Simplify right side
    12,361x = 77,046,426.63
  5. Step 5: Solve for x
    x = 77,046,426.63/12,361
  6. Step 6: Final answer
    x = 6,233.03

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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.