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Finding the Fourth Proportional to 22,385.80, 30,891.22 and 12,314.67

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Solution

The fourth proportional to 22,385.80, 30,891.22 and 12,314.67 is: 16,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385.80 : 30,891.22 = 12,314.67 : x
  2. Step 2: Convert to fraction form
    22,385.80/30,891.22 = 12,314.67/x
  3. Step 3: Cross multiply
    22,385.80x = 30,891.22 × 12,314.67
  4. Step 4: Simplify right side
    22,385.80x = 380,415,180.20
  5. Step 5: Solve for x
    x = 380,415,180.20/22,385.80
  6. Step 6: Final answer
    x = 16,993.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.