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Finding the Fourth Proportional to 2,540.43, 3,785.71 and 2,456.82

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Solution

The fourth proportional to 2,540.43, 3,785.71 and 2,456.82 is: 3,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.43 : 3,785.71 = 2,456.82 : x
  2. Step 2: Convert to fraction form
    2,540.43/3,785.71 = 2,456.82/x
  3. Step 3: Cross multiply
    2,540.43x = 3,785.71 × 2,456.82
  4. Step 4: Simplify right side
    2,540.43x = 9,300,803.76
  5. Step 5: Solve for x
    x = 9,300,803.76/2,540.43
  6. Step 6: Final answer
    x = 3,661.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.