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Finding the Fourth Proportional to 8,003.52, 11,988.96 and 6,528

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Solution

The fourth proportional to 8,003.52, 11,988.96 and 6,528 is: 9,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.52 : 11,988.96 = 6,528 : x
  2. Step 2: Convert to fraction form
    8,003.52/11,988.96 = 6,528/x
  3. Step 3: Cross multiply
    8,003.52x = 11,988.96 × 6,528
  4. Step 4: Simplify right side
    8,003.52x = 78,263,930.88
  5. Step 5: Solve for x
    x = 78,263,930.88/8,003.52
  6. Step 6: Final answer
    x = 9,778.69

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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.