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Finding the Fourth Proportional to 3,985.50, 5,979.69 and 1,249.50

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Solution

The fourth proportional to 3,985.50, 5,979.69 and 1,249.50 is: 1,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.50 : 5,979.69 = 1,249.50 : x
  2. Step 2: Convert to fraction form
    3,985.50/5,979.69 = 1,249.50/x
  3. Step 3: Cross multiply
    3,985.50x = 5,979.69 × 1,249.50
  4. Step 4: Simplify right side
    3,985.50x = 7,471,622.66
  5. Step 5: Solve for x
    x = 7,471,622.66/3,985.50
  6. Step 6: Final answer
    x = 1,874.70

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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.