Home / 5,120.20-7,678.38-2,197

Finding the Fourth Proportional to 5,120.20, 7,678.38 and 2,197

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Solution

The fourth proportional to 5,120.20, 7,678.38 and 2,197 is: 3,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.20 : 7,678.38 = 2,197 : x
  2. Step 2: Convert to fraction form
    5,120.20/7,678.38 = 2,197/x
  3. Step 3: Cross multiply
    5,120.20x = 7,678.38 × 2,197
  4. Step 4: Simplify right side
    5,120.20x = 16,869,400.86
  5. Step 5: Solve for x
    x = 16,869,400.86/5,120.20
  6. Step 6: Final answer
    x = 3,294.68

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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.