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Finding the Fourth Proportional to 5,731.46, 7,857.91 and 5,627.78

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Solution

The fourth proportional to 5,731.46, 7,857.91 and 5,627.78 is: 7,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.46 : 7,857.91 = 5,627.78 : x
  2. Step 2: Convert to fraction form
    5,731.46/7,857.91 = 5,627.78/x
  3. Step 3: Cross multiply
    5,731.46x = 7,857.91 × 5,627.78
  4. Step 4: Simplify right side
    5,731.46x = 44,222,560.60
  5. Step 5: Solve for x
    x = 44,222,560.60/5,731.46
  6. Step 6: Final answer
    x = 7,715.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.