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Finding the Fourth Proportional to 10,141.54, 13,982.58 and 7,754.44

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Solution

The fourth proportional to 10,141.54, 13,982.58 and 7,754.44 is: 10,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.54 : 13,982.58 = 7,754.44 : x
  2. Step 2: Convert to fraction form
    10,141.54/13,982.58 = 7,754.44/x
  3. Step 3: Cross multiply
    10,141.54x = 13,982.58 × 7,754.44
  4. Step 4: Simplify right side
    10,141.54x = 108,427,077.66
  5. Step 5: Solve for x
    x = 108,427,077.66/10,141.54
  6. Step 6: Final answer
    x = 10,691.38

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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.