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Finding the Fourth Proportional to 8,138.48, 12,194.15 and 7,835.13

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Solution

The fourth proportional to 8,138.48, 12,194.15 and 7,835.13 is: 11,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.48 : 12,194.15 = 7,835.13 : x
  2. Step 2: Convert to fraction form
    8,138.48/12,194.15 = 7,835.13/x
  3. Step 3: Cross multiply
    8,138.48x = 12,194.15 × 7,835.13
  4. Step 4: Simplify right side
    8,138.48x = 95,542,711.31
  5. Step 5: Solve for x
    x = 95,542,711.31/8,138.48
  6. Step 6: Final answer
    x = 11,739.63

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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.