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Finding the Fourth Proportional to 2,331.27, 3,498.35 and 871.44

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Solution

The fourth proportional to 2,331.27, 3,498.35 and 871.44 is: 1,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.27 : 3,498.35 = 871.44 : x
  2. Step 2: Convert to fraction form
    2,331.27/3,498.35 = 871.44/x
  3. Step 3: Cross multiply
    2,331.27x = 3,498.35 × 871.44
  4. Step 4: Simplify right side
    2,331.27x = 3,048,597.77
  5. Step 5: Solve for x
    x = 3,048,597.77/2,331.27
  6. Step 6: Final answer
    x = 1,307.70

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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.