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Finding the Fourth Proportional to 2,167.49, 3,251.47 and 706.45

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Solution

The fourth proportional to 2,167.49, 3,251.47 and 706.45 is: 1,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.49 : 3,251.47 = 706.45 : x
  2. Step 2: Convert to fraction form
    2,167.49/3,251.47 = 706.45/x
  3. Step 3: Cross multiply
    2,167.49x = 3,251.47 × 706.45
  4. Step 4: Simplify right side
    2,167.49x = 2,297,000.98
  5. Step 5: Solve for x
    x = 2,297,000.98/2,167.49
  6. Step 6: Final answer
    x = 1,059.75

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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.