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Finding the Fourth Proportional to 1,999.84, 3,001.32 and 1,387.86

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Solution

The fourth proportional to 1,999.84, 3,001.32 and 1,387.86 is: 2,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.84 : 3,001.32 = 1,387.86 : x
  2. Step 2: Convert to fraction form
    1,999.84/3,001.32 = 1,387.86/x
  3. Step 3: Cross multiply
    1,999.84x = 3,001.32 × 1,387.86
  4. Step 4: Simplify right side
    1,999.84x = 4,165,411.98
  5. Step 5: Solve for x
    x = 4,165,411.98/1,999.84
  6. Step 6: Final answer
    x = 2,082.87

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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.