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Finding the Fourth Proportional to 12,372.50, 18,561.18 and 5,447

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Solution

The fourth proportional to 12,372.50, 18,561.18 and 5,447 is: 8,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.50 : 18,561.18 = 5,447 : x
  2. Step 2: Convert to fraction form
    12,372.50/18,561.18 = 5,447/x
  3. Step 3: Cross multiply
    12,372.50x = 18,561.18 × 5,447
  4. Step 4: Simplify right side
    12,372.50x = 101,102,747.46
  5. Step 5: Solve for x
    x = 101,102,747.46/12,372.50
  6. Step 6: Final answer
    x = 8,171.57

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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.