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Finding the Fourth Proportional to 5,880, 8,118 and 3,787.92

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Solution

The fourth proportional to 5,880, 8,118 and 3,787.92 is: 5,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880 : 8,118 = 3,787.92 : x
  2. Step 2: Convert to fraction form
    5,880/8,118 = 3,787.92/x
  3. Step 3: Cross multiply
    5,880x = 8,118 × 3,787.92
  4. Step 4: Simplify right side
    5,880x = 30,750,334.56
  5. Step 5: Solve for x
    x = 30,750,334.56/5,880
  6. Step 6: Final answer
    x = 5,229.65

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Why These Related Problems?

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