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Finding the Fourth Proportional to 3,921.32, 5,878.60 and 1,728.38

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Solution

The fourth proportional to 3,921.32, 5,878.60 and 1,728.38 is: 2,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.32 : 5,878.60 = 1,728.38 : x
  2. Step 2: Convert to fraction form
    3,921.32/5,878.60 = 1,728.38/x
  3. Step 3: Cross multiply
    3,921.32x = 5,878.60 × 1,728.38
  4. Step 4: Simplify right side
    3,921.32x = 10,160,454.67
  5. Step 5: Solve for x
    x = 10,160,454.67/3,921.32
  6. Step 6: Final answer
    x = 2,591.08

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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.