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Finding the Fourth Proportional to 3,787.00, 5,673.20 and 1,840.57

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Solution

The fourth proportional to 3,787.00, 5,673.20 and 1,840.57 is: 2,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.00 : 5,673.20 = 1,840.57 : x
  2. Step 2: Convert to fraction form
    3,787.00/5,673.20 = 1,840.57/x
  3. Step 3: Cross multiply
    3,787.00x = 5,673.20 × 1,840.57
  4. Step 4: Simplify right side
    3,787.00x = 10,441,898.34
  5. Step 5: Solve for x
    x = 10,441,898.34/3,787.00
  6. Step 6: Final answer
    x = 2,757.30

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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.