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Finding the Fourth Proportional to 3,948.87, 5,922.54 and 2,308.62

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Solution

The fourth proportional to 3,948.87, 5,922.54 and 2,308.62 is: 3,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.87 : 5,922.54 = 2,308.62 : x
  2. Step 2: Convert to fraction form
    3,948.87/5,922.54 = 2,308.62/x
  3. Step 3: Cross multiply
    3,948.87x = 5,922.54 × 2,308.62
  4. Step 4: Simplify right side
    3,948.87x = 13,672,894.29
  5. Step 5: Solve for x
    x = 13,672,894.29/3,948.87
  6. Step 6: Final answer
    x = 3,462.48

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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.