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Finding the Fourth Proportional to 5,197.59, 7,800.78 and 2,079.78

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Solution

The fourth proportional to 5,197.59, 7,800.78 and 2,079.78 is: 3,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.59 : 7,800.78 = 2,079.78 : x
  2. Step 2: Convert to fraction form
    5,197.59/7,800.78 = 2,079.78/x
  3. Step 3: Cross multiply
    5,197.59x = 7,800.78 × 2,079.78
  4. Step 4: Simplify right side
    5,197.59x = 16,223,906.23
  5. Step 5: Solve for x
    x = 16,223,906.23/5,197.59
  6. Step 6: Final answer
    x = 3,121.43

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1.5x scale

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.