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Finding the Fourth Proportional to 2,167.90, 3,251.49 and 607.55

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Solution

The fourth proportional to 2,167.90, 3,251.49 and 607.55 is: 911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.90 : 3,251.49 = 607.55 : x
  2. Step 2: Convert to fraction form
    2,167.90/3,251.49 = 607.55/x
  3. Step 3: Cross multiply
    2,167.90x = 3,251.49 × 607.55
  4. Step 4: Simplify right side
    2,167.90x = 1,975,429.17
  5. Step 5: Solve for x
    x = 1,975,429.17/2,167.90
  6. Step 6: Final answer
    x = 911.22

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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.