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Finding the Fourth Proportional to 3,787.02, 5,675.82 and 2,956.62

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Solution

The fourth proportional to 3,787.02, 5,675.82 and 2,956.62 is: 4,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.02 : 5,675.82 = 2,956.62 : x
  2. Step 2: Convert to fraction form
    3,787.02/5,675.82 = 2,956.62/x
  3. Step 3: Cross multiply
    3,787.02x = 5,675.82 × 2,956.62
  4. Step 4: Simplify right side
    3,787.02x = 16,781,242.93
  5. Step 5: Solve for x
    x = 16,781,242.93/3,787.02
  6. Step 6: Final answer
    x = 4,431.25

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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.