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Finding the Fourth Proportional to 22,205.75, 30,643.94 and 12,269.75

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Solution

The fourth proportional to 22,205.75, 30,643.94 and 12,269.75 is: 16,932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.75 : 30,643.94 = 12,269.75 : x
  2. Step 2: Convert to fraction form
    22,205.75/30,643.94 = 12,269.75/x
  3. Step 3: Cross multiply
    22,205.75x = 30,643.94 × 12,269.75
  4. Step 4: Simplify right side
    22,205.75x = 375,993,482.82
  5. Step 5: Solve for x
    x = 375,993,482.82/22,205.75
  6. Step 6: Final answer
    x = 16,932.26

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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.