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Finding the Fourth Proportional to 3,854.60, 5,773.26 and 2,986.28

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Solution

The fourth proportional to 3,854.60, 5,773.26 and 2,986.28 is: 4,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.60 : 5,773.26 = 2,986.28 : x
  2. Step 2: Convert to fraction form
    3,854.60/5,773.26 = 2,986.28/x
  3. Step 3: Cross multiply
    3,854.60x = 5,773.26 × 2,986.28
  4. Step 4: Simplify right side
    3,854.60x = 17,240,570.87
  5. Step 5: Solve for x
    x = 17,240,570.87/3,854.60
  6. Step 6: Final answer
    x = 4,472.73

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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.