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Finding the Fourth Proportional to 8,228, 12,347.04 and 3,297.12

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Solution

The fourth proportional to 8,228, 12,347.04 and 3,297.12 is: 4,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228 : 12,347.04 = 3,297.12 : x
  2. Step 2: Convert to fraction form
    8,228/12,347.04 = 3,297.12/x
  3. Step 3: Cross multiply
    8,228x = 12,347.04 × 3,297.12
  4. Step 4: Simplify right side
    8,228x = 40,709,672.52
  5. Step 5: Solve for x
    x = 40,709,672.52/8,228
  6. Step 6: Final answer
    x = 4,947.70

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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.