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Finding the Fourth Proportional to 5,920.74, 8,170.92 and 3,927.90

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Solution

The fourth proportional to 5,920.74, 8,170.92 and 3,927.90 is: 5,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.74 : 8,170.92 = 3,927.90 : x
  2. Step 2: Convert to fraction form
    5,920.74/8,170.92 = 3,927.90/x
  3. Step 3: Cross multiply
    5,920.74x = 8,170.92 × 3,927.90
  4. Step 4: Simplify right side
    5,920.74x = 32,094,556.67
  5. Step 5: Solve for x
    x = 32,094,556.67/5,920.74
  6. Step 6: Final answer
    x = 5,420.70

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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.