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Finding the Fourth Proportional to 8,621.52, 12,932.28 and 4,002

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Solution

The fourth proportional to 8,621.52, 12,932.28 and 4,002 is: 6,003

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,621.52 : 12,932.28 = 4,002 : x
  2. Step 2: Convert to fraction form
    8,621.52/12,932.28 = 4,002/x
  3. Step 3: Cross multiply
    8,621.52x = 12,932.28 × 4,002
  4. Step 4: Simplify right side
    8,621.52x = 51,754,984.56
  5. Step 5: Solve for x
    x = 51,754,984.56/8,621.52
  6. Step 6: Final answer
    x = 6,003

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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.