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Finding the Fourth Proportional to 2,719.64, 3,753.27 and 1,540.69

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Solution

The fourth proportional to 2,719.64, 3,753.27 and 1,540.69 is: 2,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.64 : 3,753.27 = 1,540.69 : x
  2. Step 2: Convert to fraction form
    2,719.64/3,753.27 = 1,540.69/x
  3. Step 3: Cross multiply
    2,719.64x = 3,753.27 × 1,540.69
  4. Step 4: Simplify right side
    2,719.64x = 5,782,616.17
  5. Step 5: Solve for x
    x = 5,782,616.17/2,719.64
  6. Step 6: Final answer
    x = 2,126.24

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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.