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Finding the Fourth Proportional to 2,772.82, 4,156.47 and 1,540.78

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Solution

The fourth proportional to 2,772.82, 4,156.47 and 1,540.78 is: 2,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.82 : 4,156.47 = 1,540.78 : x
  2. Step 2: Convert to fraction form
    2,772.82/4,156.47 = 1,540.78/x
  3. Step 3: Cross multiply
    2,772.82x = 4,156.47 × 1,540.78
  4. Step 4: Simplify right side
    2,772.82x = 6,404,205.85
  5. Step 5: Solve for x
    x = 6,404,205.85/2,772.82
  6. Step 6: Final answer
    x = 2,309.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.