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Finding the Fourth Proportional to 8,162.64, 11,241.36 and 7,359.12

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Solution

The fourth proportional to 8,162.64, 11,241.36 and 7,359.12 is: 10,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.64 : 11,241.36 = 7,359.12 : x
  2. Step 2: Convert to fraction form
    8,162.64/11,241.36 = 7,359.12/x
  3. Step 3: Cross multiply
    8,162.64x = 11,241.36 × 7,359.12
  4. Step 4: Simplify right side
    8,162.64x = 82,726,517.20
  5. Step 5: Solve for x
    x = 82,726,517.20/8,162.64
  6. Step 6: Final answer
    x = 10,134.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.