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Finding the Fourth Proportional to 13,751.52, 20,619.92 and 5,431.20

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Solution

The fourth proportional to 13,751.52, 20,619.92 and 5,431.20 is: 8,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.52 : 20,619.92 = 5,431.20 : x
  2. Step 2: Convert to fraction form
    13,751.52/20,619.92 = 5,431.20/x
  3. Step 3: Cross multiply
    13,751.52x = 20,619.92 × 5,431.20
  4. Step 4: Simplify right side
    13,751.52x = 111,990,909.50
  5. Step 5: Solve for x
    x = 111,990,909.50/13,751.52
  6. Step 6: Final answer
    x = 8,143.89

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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.