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Finding the Fourth Proportional to 5,787.95, 8,680.11 and 2,089.69

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Solution

The fourth proportional to 5,787.95, 8,680.11 and 2,089.69 is: 3,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.95 : 8,680.11 = 2,089.69 : x
  2. Step 2: Convert to fraction form
    5,787.95/8,680.11 = 2,089.69/x
  3. Step 3: Cross multiply
    5,787.95x = 8,680.11 × 2,089.69
  4. Step 4: Simplify right side
    5,787.95x = 18,138,709.53
  5. Step 5: Solve for x
    x = 18,138,709.53/5,787.95
  6. Step 6: Final answer
    x = 3,133.88

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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.