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Finding the Fourth Proportional to 3,920.88, 5,407.92 and 3,396

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Solution

The fourth proportional to 3,920.88, 5,407.92 and 3,396 is: 4,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.88 : 5,407.92 = 3,396 : x
  2. Step 2: Convert to fraction form
    3,920.88/5,407.92 = 3,396/x
  3. Step 3: Cross multiply
    3,920.88x = 5,407.92 × 3,396
  4. Step 4: Simplify right side
    3,920.88x = 18,365,296.32
  5. Step 5: Solve for x
    x = 18,365,296.32/3,920.88
  6. Step 6: Final answer
    x = 4,683.97

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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.