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Finding the Fourth Proportional to 8,471.75, 11,691.02 and 5,159.75

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Solution

The fourth proportional to 8,471.75, 11,691.02 and 5,159.75 is: 7,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.75 : 11,691.02 = 5,159.75 : x
  2. Step 2: Convert to fraction form
    8,471.75/11,691.02 = 5,159.75/x
  3. Step 3: Cross multiply
    8,471.75x = 11,691.02 × 5,159.75
  4. Step 4: Simplify right side
    8,471.75x = 60,322,740.45
  5. Step 5: Solve for x
    x = 60,322,740.45/8,471.75
  6. Step 6: Final answer
    x = 7,120.46

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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.