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Finding the Fourth Proportional to 8,132, 11,217.84 and 5,474.88

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Solution

The fourth proportional to 8,132, 11,217.84 and 5,474.88 is: 7,552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132 : 11,217.84 = 5,474.88 : x
  2. Step 2: Convert to fraction form
    8,132/11,217.84 = 5,474.88/x
  3. Step 3: Cross multiply
    8,132x = 11,217.84 × 5,474.88
  4. Step 4: Simplify right side
    8,132x = 61,416,327.86
  5. Step 5: Solve for x
    x = 61,416,327.86/8,132
  6. Step 6: Final answer
    x = 7,552.43

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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.