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Finding the Fourth Proportional to 8,228.12, 12,342.15 and 3,848.65

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Solution

The fourth proportional to 8,228.12, 12,342.15 and 3,848.65 is: 5,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.12 : 12,342.15 = 3,848.65 : x
  2. Step 2: Convert to fraction form
    8,228.12/12,342.15 = 3,848.65/x
  3. Step 3: Cross multiply
    8,228.12x = 12,342.15 × 3,848.65
  4. Step 4: Simplify right side
    8,228.12x = 47,500,584.74
  5. Step 5: Solve for x
    x = 47,500,584.74/8,228.12
  6. Step 6: Final answer
    x = 5,772.96

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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.