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Finding the Fourth Proportional to 8,057.61, 12,084.97 and 5,127.21

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Solution

The fourth proportional to 8,057.61, 12,084.97 and 5,127.21 is: 7,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.61 : 12,084.97 = 5,127.21 : x
  2. Step 2: Convert to fraction form
    8,057.61/12,084.97 = 5,127.21/x
  3. Step 3: Cross multiply
    8,057.61x = 12,084.97 × 5,127.21
  4. Step 4: Simplify right side
    8,057.61x = 61,962,179.03
  5. Step 5: Solve for x
    x = 61,962,179.03/8,057.61
  6. Step 6: Final answer
    x = 7,689.90

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1.5x scale

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.