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Finding the Fourth Proportional to 5,657.28, 8,422.56 and 5,629.92

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Solution

The fourth proportional to 5,657.28, 8,422.56 and 5,629.92 is: 8,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.28 : 8,422.56 = 5,629.92 : x
  2. Step 2: Convert to fraction form
    5,657.28/8,422.56 = 5,629.92/x
  3. Step 3: Cross multiply
    5,657.28x = 8,422.56 × 5,629.92
  4. Step 4: Simplify right side
    5,657.28x = 47,418,339.00
  5. Step 5: Solve for x
    x = 47,418,339.00/5,657.28
  6. Step 6: Final answer
    x = 8,381.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.