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Finding the Fourth Proportional to 2,744.50, 3,787.41 and 1,502.50

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Solution

The fourth proportional to 2,744.50, 3,787.41 and 1,502.50 is: 2,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.50 : 3,787.41 = 1,502.50 : x
  2. Step 2: Convert to fraction form
    2,744.50/3,787.41 = 1,502.50/x
  3. Step 3: Cross multiply
    2,744.50x = 3,787.41 × 1,502.50
  4. Step 4: Simplify right side
    2,744.50x = 5,690,583.53
  5. Step 5: Solve for x
    x = 5,690,583.53/2,744.50
  6. Step 6: Final answer
    x = 2,073.45

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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.