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Finding the Fourth Proportional to 22,205.76, 30,643.96 and 12,269.76

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Solution

The fourth proportional to 22,205.76, 30,643.96 and 12,269.76 is: 16,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.76 : 30,643.96 = 12,269.76 : x
  2. Step 2: Convert to fraction form
    22,205.76/30,643.96 = 12,269.76/x
  3. Step 3: Cross multiply
    22,205.76x = 30,643.96 × 12,269.76
  4. Step 4: Simplify right side
    22,205.76x = 375,994,034.65
  5. Step 5: Solve for x
    x = 375,994,034.65/22,205.76
  6. Step 6: Final answer
    x = 16,932.27

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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.