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Finding the Fourth Proportional to 12,215, 18,321.58 and 3,894.68

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Solution

The fourth proportional to 12,215, 18,321.58 and 3,894.68 is: 5,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215 : 18,321.58 = 3,894.68 : x
  2. Step 2: Convert to fraction form
    12,215/18,321.58 = 3,894.68/x
  3. Step 3: Cross multiply
    12,215x = 18,321.58 × 3,894.68
  4. Step 4: Simplify right side
    12,215x = 71,356,691.19
  5. Step 5: Solve for x
    x = 71,356,691.19/12,215
  6. Step 6: Final answer
    x = 5,841.73

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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.