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Finding the Fourth Proportional to 5,920.92, 8,176.90 and 4,155.48

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Solution

The fourth proportional to 5,920.92, 8,176.90 and 4,155.48 is: 5,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.92 : 8,176.90 = 4,155.48 : x
  2. Step 2: Convert to fraction form
    5,920.92/8,176.90 = 4,155.48/x
  3. Step 3: Cross multiply
    5,920.92x = 8,176.90 × 4,155.48
  4. Step 4: Simplify right side
    5,920.92x = 33,978,944.41
  5. Step 5: Solve for x
    x = 33,978,944.41/5,920.92
  6. Step 6: Final answer
    x = 5,738.79

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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.