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Finding the Fourth Proportional to 2,167.40, 3,251.55 and 706.43

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Solution

The fourth proportional to 2,167.40, 3,251.55 and 706.43 is: 1,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.40 : 3,251.55 = 706.43 : x
  2. Step 2: Convert to fraction form
    2,167.40/3,251.55 = 706.43/x
  3. Step 3: Cross multiply
    2,167.40x = 3,251.55 × 706.43
  4. Step 4: Simplify right side
    2,167.40x = 2,296,992.47
  5. Step 5: Solve for x
    x = 2,296,992.47/2,167.40
  6. Step 6: Final answer
    x = 1,059.79

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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.