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Finding the Fourth Proportional to 2,744.56, 3,787.50 and 1,502.56

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Solution

The fourth proportional to 2,744.56, 3,787.50 and 1,502.56 is: 2,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.56 : 3,787.50 = 1,502.56 : x
  2. Step 2: Convert to fraction form
    2,744.56/3,787.50 = 1,502.56/x
  3. Step 3: Cross multiply
    2,744.56x = 3,787.50 × 1,502.56
  4. Step 4: Simplify right side
    2,744.56x = 5,690,946
  5. Step 5: Solve for x
    x = 5,690,946/2,744.56
  6. Step 6: Final answer
    x = 2,073.54

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