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Finding the Fourth Proportional to 2,167.77, 3,251.31 and 607.61

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Solution

The fourth proportional to 2,167.77, 3,251.31 and 607.61 is: 911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.77 : 3,251.31 = 607.61 : x
  2. Step 2: Convert to fraction form
    2,167.77/3,251.31 = 607.61/x
  3. Step 3: Cross multiply
    2,167.77x = 3,251.31 × 607.61
  4. Step 4: Simplify right side
    2,167.77x = 1,975,528.47
  5. Step 5: Solve for x
    x = 1,975,528.47/2,167.77
  6. Step 6: Final answer
    x = 911.32

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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.