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Finding the Fourth Proportional to 3,967.50, 5,951.25 and 1,659

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Solution

The fourth proportional to 3,967.50, 5,951.25 and 1,659 is: 2,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.50 : 5,951.25 = 1,659 : x
  2. Step 2: Convert to fraction form
    3,967.50/5,951.25 = 1,659/x
  3. Step 3: Cross multiply
    3,967.50x = 5,951.25 × 1,659
  4. Step 4: Simplify right side
    3,967.50x = 9,873,123.75
  5. Step 5: Solve for x
    x = 9,873,123.75/3,967.50
  6. Step 6: Final answer
    x = 2,488.50

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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.