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Finding the Fourth Proportional to 1,531.08, 2,294.22 and 872.14

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Solution

The fourth proportional to 1,531.08, 2,294.22 and 872.14 is: 1,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.08 : 2,294.22 = 872.14 : x
  2. Step 2: Convert to fraction form
    1,531.08/2,294.22 = 872.14/x
  3. Step 3: Cross multiply
    1,531.08x = 2,294.22 × 872.14
  4. Step 4: Simplify right side
    1,531.08x = 2,000,889.32
  5. Step 5: Solve for x
    x = 2,000,889.32/1,531.08
  6. Step 6: Final answer
    x = 1,306.85

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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.