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Finding the Fourth Proportional to 8,164.98, 12,230.19 and 6,775.02

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Solution

The fourth proportional to 8,164.98, 12,230.19 and 6,775.02 is: 10,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.98 : 12,230.19 = 6,775.02 : x
  2. Step 2: Convert to fraction form
    8,164.98/12,230.19 = 6,775.02/x
  3. Step 3: Cross multiply
    8,164.98x = 12,230.19 × 6,775.02
  4. Step 4: Simplify right side
    8,164.98x = 82,859,781.85
  5. Step 5: Solve for x
    x = 82,859,781.85/8,164.98
  6. Step 6: Final answer
    x = 10,148.19

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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.