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Finding the Fourth Proportional to 5,197.14, 7,798.68 and 2,734.20

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Solution

The fourth proportional to 5,197.14, 7,798.68 and 2,734.20 is: 4,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.14 : 7,798.68 = 2,734.20 : x
  2. Step 2: Convert to fraction form
    5,197.14/7,798.68 = 2,734.20/x
  3. Step 3: Cross multiply
    5,197.14x = 7,798.68 × 2,734.20
  4. Step 4: Simplify right side
    5,197.14x = 21,323,150.86
  5. Step 5: Solve for x
    x = 21,323,150.86/5,197.14
  6. Step 6: Final answer
    x = 4,102.86

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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.