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Finding the Fourth Proportional to 5,486.30, 8,217.30 and 2,197.70

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Solution

The fourth proportional to 5,486.30, 8,217.30 and 2,197.70 is: 3,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.30 : 8,217.30 = 2,197.70 : x
  2. Step 2: Convert to fraction form
    5,486.30/8,217.30 = 2,197.70/x
  3. Step 3: Cross multiply
    5,486.30x = 8,217.30 × 2,197.70
  4. Step 4: Simplify right side
    5,486.30x = 18,059,160.21
  5. Step 5: Solve for x
    x = 18,059,160.21/5,486.30
  6. Step 6: Final answer
    x = 3,291.68

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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.