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Finding the Fourth Proportional to 12,049.12, 18,073.74 and 4,257.94

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Solution

The fourth proportional to 12,049.12, 18,073.74 and 4,257.94 is: 6,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.12 : 18,073.74 = 4,257.94 : x
  2. Step 2: Convert to fraction form
    12,049.12/18,073.74 = 4,257.94/x
  3. Step 3: Cross multiply
    12,049.12x = 18,073.74 × 4,257.94
  4. Step 4: Simplify right side
    12,049.12x = 76,956,900.50
  5. Step 5: Solve for x
    x = 76,956,900.50/12,049.12
  6. Step 6: Final answer
    x = 6,386.93

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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.