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Finding the Fourth Proportional to 5,197.50, 7,796.25 and 2,078.90

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Solution

The fourth proportional to 5,197.50, 7,796.25 and 2,078.90 is: 3,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.50 : 7,796.25 = 2,078.90 : x
  2. Step 2: Convert to fraction form
    5,197.50/7,796.25 = 2,078.90/x
  3. Step 3: Cross multiply
    5,197.50x = 7,796.25 × 2,078.90
  4. Step 4: Simplify right side
    5,197.50x = 16,207,614.38
  5. Step 5: Solve for x
    x = 16,207,614.38/5,197.50
  6. Step 6: Final answer
    x = 3,118.35

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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.