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Finding the Fourth Proportional to 11,080, 16,696.44 and 10,039.96

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Solution

The fourth proportional to 11,080, 16,696.44 and 10,039.96 is: 15,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,080 : 16,696.44 = 10,039.96 : x
  2. Step 2: Convert to fraction form
    11,080/16,696.44 = 10,039.96/x
  3. Step 3: Cross multiply
    11,080x = 16,696.44 × 10,039.96
  4. Step 4: Simplify right side
    11,080x = 167,631,589.74
  5. Step 5: Solve for x
    x = 167,631,589.74/11,080
  6. Step 6: Final answer
    x = 15,129.20

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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.