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Finding the Fourth Proportional to 10,872.22, 16,382.40 and 8,941.11

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Solution

The fourth proportional to 10,872.22, 16,382.40 and 8,941.11 is: 13,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.22 : 16,382.40 = 8,941.11 : x
  2. Step 2: Convert to fraction form
    10,872.22/16,382.40 = 8,941.11/x
  3. Step 3: Cross multiply
    10,872.22x = 16,382.40 × 8,941.11
  4. Step 4: Simplify right side
    10,872.22x = 146,476,837.65
  5. Step 5: Solve for x
    x = 146,476,837.65/10,872.22
  6. Step 6: Final answer
    x = 13,472.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.