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Finding the Fourth Proportional to 3,920.66, 5,881.86 and 1,147.58

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Solution

The fourth proportional to 3,920.66, 5,881.86 and 1,147.58 is: 1,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.66 : 5,881.86 = 1,147.58 : x
  2. Step 2: Convert to fraction form
    3,920.66/5,881.86 = 1,147.58/x
  3. Step 3: Cross multiply
    3,920.66x = 5,881.86 × 1,147.58
  4. Step 4: Simplify right side
    3,920.66x = 6,749,904.90
  5. Step 5: Solve for x
    x = 6,749,904.90/3,920.66
  6. Step 6: Final answer
    x = 1,721.62

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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.