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Finding the Fourth Proportional to 3,860.64, 5,787.16 and 1,519.18

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Solution

The fourth proportional to 3,860.64, 5,787.16 and 1,519.18 is: 2,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.64 : 5,787.16 = 1,519.18 : x
  2. Step 2: Convert to fraction form
    3,860.64/5,787.16 = 1,519.18/x
  3. Step 3: Cross multiply
    3,860.64x = 5,787.16 × 1,519.18
  4. Step 4: Simplify right side
    3,860.64x = 8,791,737.73
  5. Step 5: Solve for x
    x = 8,791,737.73/3,860.64
  6. Step 6: Final answer
    x = 2,277.27

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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.