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Finding the Fourth Proportional to 22,382.33, 30,888.14 and 12,311.33

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Solution

The fourth proportional to 22,382.33, 30,888.14 and 12,311.33 is: 16,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.33 : 30,888.14 = 12,311.33 : x
  2. Step 2: Convert to fraction form
    22,382.33/30,888.14 = 12,311.33/x
  3. Step 3: Cross multiply
    22,382.33x = 30,888.14 × 12,311.33
  4. Step 4: Simplify right side
    22,382.33x = 380,273,868.63
  5. Step 5: Solve for x
    x = 380,273,868.63/22,382.33
  6. Step 6: Final answer
    x = 16,989.92

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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.