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Finding the Fourth Proportional to 5,876.55, 8,112.76 and 3,998.16

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Solution

The fourth proportional to 5,876.55, 8,112.76 and 3,998.16 is: 5,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.55 : 8,112.76 = 3,998.16 : x
  2. Step 2: Convert to fraction form
    5,876.55/8,112.76 = 3,998.16/x
  3. Step 3: Cross multiply
    5,876.55x = 8,112.76 × 3,998.16
  4. Step 4: Simplify right side
    5,876.55x = 32,436,102.53
  5. Step 5: Solve for x
    x = 32,436,102.53/5,876.55
  6. Step 6: Final answer
    x = 5,519.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.