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Finding the Fourth Proportional to 2,951.74, 4,427.11 and 871.71

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Solution

The fourth proportional to 2,951.74, 4,427.11 and 871.71 is: 1,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.74 : 4,427.11 = 871.71 : x
  2. Step 2: Convert to fraction form
    2,951.74/4,427.11 = 871.71/x
  3. Step 3: Cross multiply
    2,951.74x = 4,427.11 × 871.71
  4. Step 4: Simplify right side
    2,951.74x = 3,859,156.06
  5. Step 5: Solve for x
    x = 3,859,156.06/2,951.74
  6. Step 6: Final answer
    x = 1,307.42

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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.