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Finding the Fourth Proportional to 8,041.20, 12,094.20 and 7,198.80

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Solution

The fourth proportional to 8,041.20, 12,094.20 and 7,198.80 is: 10,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.20 : 12,094.20 = 7,198.80 : x
  2. Step 2: Convert to fraction form
    8,041.20/12,094.20 = 7,198.80/x
  3. Step 3: Cross multiply
    8,041.20x = 12,094.20 × 7,198.80
  4. Step 4: Simplify right side
    8,041.20x = 87,063,726.96
  5. Step 5: Solve for x
    x = 87,063,726.96/8,041.20
  6. Step 6: Final answer
    x = 10,827.21

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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.