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Finding the Fourth Proportional to 1,967.33, 2,951.36 and 871.73

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Solution

The fourth proportional to 1,967.33, 2,951.36 and 871.73 is: 1,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.33 : 2,951.36 = 871.73 : x
  2. Step 2: Convert to fraction form
    1,967.33/2,951.36 = 871.73/x
  3. Step 3: Cross multiply
    1,967.33x = 2,951.36 × 871.73
  4. Step 4: Simplify right side
    1,967.33x = 2,572,769.94
  5. Step 5: Solve for x
    x = 2,572,769.94/1,967.33
  6. Step 6: Final answer
    x = 1,307.75

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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.