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Finding the Fourth Proportional to 8,132.97, 12,219.98 and 7,804.92

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Solution

The fourth proportional to 8,132.97, 12,219.98 and 7,804.92 is: 11,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.97 : 12,219.98 = 7,804.92 : x
  2. Step 2: Convert to fraction form
    8,132.97/12,219.98 = 7,804.92/x
  3. Step 3: Cross multiply
    8,132.97x = 12,219.98 × 7,804.92
  4. Step 4: Simplify right side
    8,132.97x = 95,375,966.30
  5. Step 5: Solve for x
    x = 95,375,966.30/8,132.97
  6. Step 6: Final answer
    x = 11,727.08

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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.