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Finding the Fourth Proportional to 3,924, 5,415 and 2,155.56

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Solution

The fourth proportional to 3,924, 5,415 and 2,155.56 is: 2,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924 : 5,415 = 2,155.56 : x
  2. Step 2: Convert to fraction form
    3,924/5,415 = 2,155.56/x
  3. Step 3: Cross multiply
    3,924x = 5,415 × 2,155.56
  4. Step 4: Simplify right side
    3,924x = 11,672,357.40
  5. Step 5: Solve for x
    x = 11,672,357.40/3,924
  6. Step 6: Final answer
    x = 2,974.61

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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.