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Finding the Fourth Proportional to 8,234.10, 12,365.55 and 7,974.90

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Solution

The fourth proportional to 8,234.10, 12,365.55 and 7,974.90 is: 11,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.10 : 12,365.55 = 7,974.90 : x
  2. Step 2: Convert to fraction form
    8,234.10/12,365.55 = 7,974.90/x
  3. Step 3: Cross multiply
    8,234.10x = 12,365.55 × 7,974.90
  4. Step 4: Simplify right side
    8,234.10x = 98,614,024.70
  5. Step 5: Solve for x
    x = 98,614,024.70/8,234.10
  6. Step 6: Final answer
    x = 11,976.30

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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.