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Finding the Fourth Proportional to 2,400, 3,601.08 and 1,374

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Solution

The fourth proportional to 2,400, 3,601.08 and 1,374 is: 2,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400 : 3,601.08 = 1,374 : x
  2. Step 2: Convert to fraction form
    2,400/3,601.08 = 1,374/x
  3. Step 3: Cross multiply
    2,400x = 3,601.08 × 1,374
  4. Step 4: Simplify right side
    2,400x = 4,947,883.92
  5. Step 5: Solve for x
    x = 4,947,883.92/2,400
  6. Step 6: Final answer
    x = 2,061.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.