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Finding the Fourth Proportional to 2,171.48, 3,252.87 and 999.86

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Solution

The fourth proportional to 2,171.48, 3,252.87 and 999.86 is: 1,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.48 : 3,252.87 = 999.86 : x
  2. Step 2: Convert to fraction form
    2,171.48/3,252.87 = 999.86/x
  3. Step 3: Cross multiply
    2,171.48x = 3,252.87 × 999.86
  4. Step 4: Simplify right side
    2,171.48x = 3,252,398.33
  5. Step 5: Solve for x
    x = 3,252,398.33/2,171.48
  6. Step 6: Final answer
    x = 1,497.78

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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.