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Finding the Fourth Proportional to 8,239.52, 12,280.01 and 8,108.30

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Solution

The fourth proportional to 8,239.52, 12,280.01 and 8,108.30 is: 12,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.52 : 12,280.01 = 8,108.30 : x
  2. Step 2: Convert to fraction form
    8,239.52/12,280.01 = 8,108.30/x
  3. Step 3: Cross multiply
    8,239.52x = 12,280.01 × 8,108.30
  4. Step 4: Simplify right side
    8,239.52x = 99,569,995.24
  5. Step 5: Solve for x
    x = 99,569,995.24/8,239.52
  6. Step 6: Final answer
    x = 12,084.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.