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Finding the Fourth Proportional to 2,719.52, 3,753.24 and 1,540.88

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Solution

The fourth proportional to 2,719.52, 3,753.24 and 1,540.88 is: 2,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.52 : 3,753.24 = 1,540.88 : x
  2. Step 2: Convert to fraction form
    2,719.52/3,753.24 = 1,540.88/x
  3. Step 3: Cross multiply
    2,719.52x = 3,753.24 × 1,540.88
  4. Step 4: Simplify right side
    2,719.52x = 5,783,292.45
  5. Step 5: Solve for x
    x = 5,783,292.45/2,719.52
  6. Step 6: Final answer
    x = 2,126.59

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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.