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Finding the Fourth Proportional to 3,142.78, 4,715.18 and 951.73

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Solution

The fourth proportional to 3,142.78, 4,715.18 and 951.73 is: 1,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.78 : 4,715.18 = 951.73 : x
  2. Step 2: Convert to fraction form
    3,142.78/4,715.18 = 951.73/x
  3. Step 3: Cross multiply
    3,142.78x = 4,715.18 × 951.73
  4. Step 4: Simplify right side
    3,142.78x = 4,487,549.93
  5. Step 5: Solve for x
    x = 4,487,549.93/3,142.78
  6. Step 6: Final answer
    x = 1,427.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.