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Finding the Fourth Proportional to 3,999.71, 5,999.15 and 1,077.84

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Solution

The fourth proportional to 3,999.71, 5,999.15 and 1,077.84 is: 1,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.71 : 5,999.15 = 1,077.84 : x
  2. Step 2: Convert to fraction form
    3,999.71/5,999.15 = 1,077.84/x
  3. Step 3: Cross multiply
    3,999.71x = 5,999.15 × 1,077.84
  4. Step 4: Simplify right side
    3,999.71x = 6,466,126.53
  5. Step 5: Solve for x
    x = 6,466,126.53/3,999.71
  6. Step 6: Final answer
    x = 1,616.65

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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.