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Finding the Fourth Proportional to 3,924, 5,414.88 and 2,155.44

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Solution

The fourth proportional to 3,924, 5,414.88 and 2,155.44 is: 2,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924 : 5,414.88 = 2,155.44 : x
  2. Step 2: Convert to fraction form
    3,924/5,414.88 = 2,155.44/x
  3. Step 3: Cross multiply
    3,924x = 5,414.88 × 2,155.44
  4. Step 4: Simplify right side
    3,924x = 11,671,448.95
  5. Step 5: Solve for x
    x = 11,671,448.95/3,924
  6. Step 6: Final answer
    x = 2,974.38

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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.