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Finding the Fourth Proportional to 6,351.72, 9,528 and 2,191.92

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Solution

The fourth proportional to 6,351.72, 9,528 and 2,191.92 is: 3,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.72 : 9,528 = 2,191.92 : x
  2. Step 2: Convert to fraction form
    6,351.72/9,528 = 2,191.92/x
  3. Step 3: Cross multiply
    6,351.72x = 9,528 × 2,191.92
  4. Step 4: Simplify right side
    6,351.72x = 20,884,613.76
  5. Step 5: Solve for x
    x = 20,884,613.76/6,351.72
  6. Step 6: Final answer
    x = 3,288.02

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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.