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Finding the Fourth Proportional to 2,474.24, 3,411.36 and 2,138.24

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Solution

The fourth proportional to 2,474.24, 3,411.36 and 2,138.24 is: 2,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.24 : 3,411.36 = 2,138.24 : x
  2. Step 2: Convert to fraction form
    2,474.24/3,411.36 = 2,138.24/x
  3. Step 3: Cross multiply
    2,474.24x = 3,411.36 × 2,138.24
  4. Step 4: Simplify right side
    2,474.24x = 7,294,306.41
  5. Step 5: Solve for x
    x = 7,294,306.41/2,474.24
  6. Step 6: Final answer
    x = 2,948.10

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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.