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Finding the Fourth Proportional to 12,049.92, 18,071.04 and 3,840

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Solution

The fourth proportional to 12,049.92, 18,071.04 and 3,840 is: 5,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.92 : 18,071.04 = 3,840 : x
  2. Step 2: Convert to fraction form
    12,049.92/18,071.04 = 3,840/x
  3. Step 3: Cross multiply
    12,049.92x = 18,071.04 × 3,840
  4. Step 4: Simplify right side
    12,049.92x = 69,392,793.60
  5. Step 5: Solve for x
    x = 69,392,793.60/12,049.92
  6. Step 6: Final answer
    x = 5,758.78

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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.