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Finding the Fourth Proportional to 8,266.75, 12,394.74 and 3,000.78

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Solution

The fourth proportional to 8,266.75, 12,394.74 and 3,000.78 is: 4,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.75 : 12,394.74 = 3,000.78 : x
  2. Step 2: Convert to fraction form
    8,266.75/12,394.74 = 3,000.78/x
  3. Step 3: Cross multiply
    8,266.75x = 12,394.74 × 3,000.78
  4. Step 4: Simplify right side
    8,266.75x = 37,193,887.90
  5. Step 5: Solve for x
    x = 37,193,887.90/8,266.75
  6. Step 6: Final answer
    x = 4,499.22

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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.