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Finding the Fourth Proportional to 2,712.96, 3,744 and 2,084.40

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Solution

The fourth proportional to 2,712.96, 3,744 and 2,084.40 is: 2,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.96 : 3,744 = 2,084.40 : x
  2. Step 2: Convert to fraction form
    2,712.96/3,744 = 2,084.40/x
  3. Step 3: Cross multiply
    2,712.96x = 3,744 × 2,084.40
  4. Step 4: Simplify right side
    2,712.96x = 7,803,993.60
  5. Step 5: Solve for x
    x = 7,803,993.60/2,712.96
  6. Step 6: Final answer
    x = 2,876.56

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Why These Related Problems?

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