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Finding the Fourth Proportional to 12,231, 18,346.53 and 4,439.82

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Solution

The fourth proportional to 12,231, 18,346.53 and 4,439.82 is: 6,659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231 : 18,346.53 = 4,439.82 : x
  2. Step 2: Convert to fraction form
    12,231/18,346.53 = 4,439.82/x
  3. Step 3: Cross multiply
    12,231x = 18,346.53 × 4,439.82
  4. Step 4: Simplify right side
    12,231x = 81,455,290.82
  5. Step 5: Solve for x
    x = 81,455,290.82/12,231
  6. Step 6: Final answer
    x = 6,659.74

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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.