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Finding the Fourth Proportional to 5,197.92, 7,799.16 and 2,122.08

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Solution

The fourth proportional to 5,197.92, 7,799.16 and 2,122.08 is: 3,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.92 : 7,799.16 = 2,122.08 : x
  2. Step 2: Convert to fraction form
    5,197.92/7,799.16 = 2,122.08/x
  3. Step 3: Cross multiply
    5,197.92x = 7,799.16 × 2,122.08
  4. Step 4: Simplify right side
    5,197.92x = 16,550,441.45
  5. Step 5: Solve for x
    x = 16,550,441.45/5,197.92
  6. Step 6: Final answer
    x = 3,184.05

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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.