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Finding the Fourth Proportional to 8,079.80, 11,137.41 and 7,401.83

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Solution

The fourth proportional to 8,079.80, 11,137.41 and 7,401.83 is: 10,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,079.80 : 11,137.41 = 7,401.83 : x
  2. Step 2: Convert to fraction form
    8,079.80/11,137.41 = 7,401.83/x
  3. Step 3: Cross multiply
    8,079.80x = 11,137.41 × 7,401.83
  4. Step 4: Simplify right side
    8,079.80x = 82,437,159.77
  5. Step 5: Solve for x
    x = 82,437,159.77/8,079.80
  6. Step 6: Final answer
    x = 10,202.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.