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Finding the Fourth Proportional to 12,161.72, 18,217.94 and 9,378.74

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Solution

The fourth proportional to 12,161.72, 18,217.94 and 9,378.74 is: 14,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.72 : 18,217.94 = 9,378.74 : x
  2. Step 2: Convert to fraction form
    12,161.72/18,217.94 = 9,378.74/x
  3. Step 3: Cross multiply
    12,161.72x = 18,217.94 × 9,378.74
  4. Step 4: Simplify right side
    12,161.72x = 170,861,184.61
  5. Step 5: Solve for x
    x = 170,861,184.61/12,161.72
  6. Step 6: Final answer
    x = 14,049.10

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1.5x scale

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.