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Finding the Fourth Proportional to 1,282.20, 1,922.76 and 871.56

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Solution

The fourth proportional to 1,282.20, 1,922.76 and 871.56 is: 1,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.20 : 1,922.76 = 871.56 : x
  2. Step 2: Convert to fraction form
    1,282.20/1,922.76 = 871.56/x
  3. Step 3: Cross multiply
    1,282.20x = 1,922.76 × 871.56
  4. Step 4: Simplify right side
    1,282.20x = 1,675,800.71
  5. Step 5: Solve for x
    x = 1,675,800.71/1,282.20
  6. Step 6: Final answer
    x = 1,306.97

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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.