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Finding the Fourth Proportional to 8,297.80, 12,437.10 and 3,364.20

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Solution

The fourth proportional to 8,297.80, 12,437.10 and 3,364.20 is: 5,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.80 : 12,437.10 = 3,364.20 : x
  2. Step 2: Convert to fraction form
    8,297.80/12,437.10 = 3,364.20/x
  3. Step 3: Cross multiply
    8,297.80x = 12,437.10 × 3,364.20
  4. Step 4: Simplify right side
    8,297.80x = 41,840,891.82
  5. Step 5: Solve for x
    x = 41,840,891.82/8,297.80
  6. Step 6: Final answer
    x = 5,042.41

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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.