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Finding the Fourth Proportional to 3,921.96, 5,881.54 and 1,147.92

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Solution

The fourth proportional to 3,921.96, 5,881.54 and 1,147.92 is: 1,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.96 : 5,881.54 = 1,147.92 : x
  2. Step 2: Convert to fraction form
    3,921.96/5,881.54 = 1,147.92/x
  3. Step 3: Cross multiply
    3,921.96x = 5,881.54 × 1,147.92
  4. Step 4: Simplify right side
    3,921.96x = 6,751,537.40
  5. Step 5: Solve for x
    x = 6,751,537.40/3,921.96
  6. Step 6: Final answer
    x = 1,721.47

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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.