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Finding the Fourth Proportional to 2,167.67, 3,251.16 and 607.50

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Solution

The fourth proportional to 2,167.67, 3,251.16 and 607.50 is: 911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.67 : 3,251.16 = 607.50 : x
  2. Step 2: Convert to fraction form
    2,167.67/3,251.16 = 607.50/x
  3. Step 3: Cross multiply
    2,167.67x = 3,251.16 × 607.50
  4. Step 4: Simplify right side
    2,167.67x = 1,975,079.70
  5. Step 5: Solve for x
    x = 1,975,079.70/2,167.67
  6. Step 6: Final answer
    x = 911.15

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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.