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Finding the Fourth Proportional to 2,773.88, 4,149.41 and 2,530.57

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Solution

The fourth proportional to 2,773.88, 4,149.41 and 2,530.57 is: 3,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.88 : 4,149.41 = 2,530.57 : x
  2. Step 2: Convert to fraction form
    2,773.88/4,149.41 = 2,530.57/x
  3. Step 3: Cross multiply
    2,773.88x = 4,149.41 × 2,530.57
  4. Step 4: Simplify right side
    2,773.88x = 10,500,351.72
  5. Step 5: Solve for x
    x = 10,500,351.72/2,773.88
  6. Step 6: Final answer
    x = 3,785.45

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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.