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Finding the Fourth Proportional to 5,340.06, 8,007.12 and 3,859.85

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Solution

The fourth proportional to 5,340.06, 8,007.12 and 3,859.85 is: 5,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.06 : 8,007.12 = 3,859.85 : x
  2. Step 2: Convert to fraction form
    5,340.06/8,007.12 = 3,859.85/x
  3. Step 3: Cross multiply
    5,340.06x = 8,007.12 × 3,859.85
  4. Step 4: Simplify right side
    5,340.06x = 30,906,302.15
  5. Step 5: Solve for x
    x = 30,906,302.15/5,340.06
  6. Step 6: Final answer
    x = 5,787.63

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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.