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Finding the Fourth Proportional to 8,201.55, 12,314.70 and 6,553.20

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Solution

The fourth proportional to 8,201.55, 12,314.70 and 6,553.20 is: 9,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.55 : 12,314.70 = 6,553.20 : x
  2. Step 2: Convert to fraction form
    8,201.55/12,314.70 = 6,553.20/x
  3. Step 3: Cross multiply
    8,201.55x = 12,314.70 × 6,553.20
  4. Step 4: Simplify right side
    8,201.55x = 80,700,692.04
  5. Step 5: Solve for x
    x = 80,700,692.04/8,201.55
  6. Step 6: Final answer
    x = 9,839.69

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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.