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Finding the Fourth Proportional to 12,253.52, 18,379.92 and 5,328

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Solution

The fourth proportional to 12,253.52, 18,379.92 and 5,328 is: 7,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.52 : 18,379.92 = 5,328 : x
  2. Step 2: Convert to fraction form
    12,253.52/18,379.92 = 5,328/x
  3. Step 3: Cross multiply
    12,253.52x = 18,379.92 × 5,328
  4. Step 4: Simplify right side
    12,253.52x = 97,928,213.76
  5. Step 5: Solve for x
    x = 97,928,213.76/12,253.52
  6. Step 6: Final answer
    x = 7,991.84

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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.