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Finding the Fourth Proportional to 8,009.20, 12,073.88 and 7,474

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Solution

The fourth proportional to 8,009.20, 12,073.88 and 7,474 is: 11,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.20 : 12,073.88 = 7,474 : x
  2. Step 2: Convert to fraction form
    8,009.20/12,073.88 = 7,474/x
  3. Step 3: Cross multiply
    8,009.20x = 12,073.88 × 7,474
  4. Step 4: Simplify right side
    8,009.20x = 90,240,179.12
  5. Step 5: Solve for x
    x = 90,240,179.12/8,009.20
  6. Step 6: Final answer
    x = 11,267.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.