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Finding the Fourth Proportional to 2,167.52, 3,253.04 and 869.92

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Solution

The fourth proportional to 2,167.52, 3,253.04 and 869.92 is: 1,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.52 : 3,253.04 = 869.92 : x
  2. Step 2: Convert to fraction form
    2,167.52/3,253.04 = 869.92/x
  3. Step 3: Cross multiply
    2,167.52x = 3,253.04 × 869.92
  4. Step 4: Simplify right side
    2,167.52x = 2,829,884.56
  5. Step 5: Solve for x
    x = 2,829,884.56/2,167.52
  6. Step 6: Final answer
    x = 1,305.59

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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.