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Finding the Fourth Proportional to 2,854.73, 3,936.96 and 2,377.77

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Solution

The fourth proportional to 2,854.73, 3,936.96 and 2,377.77 is: 3,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.73 : 3,936.96 = 2,377.77 : x
  2. Step 2: Convert to fraction form
    2,854.73/3,936.96 = 2,377.77/x
  3. Step 3: Cross multiply
    2,854.73x = 3,936.96 × 2,377.77
  4. Step 4: Simplify right side
    2,854.73x = 9,361,179.53
  5. Step 5: Solve for x
    x = 9,361,179.53/2,854.73
  6. Step 6: Final answer
    x = 3,279.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.