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Finding the Fourth Proportional to 10,107, 13,947.66 and 5,691

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Solution

The fourth proportional to 10,107, 13,947.66 and 5,691 is: 7,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107 : 13,947.66 = 5,691 : x
  2. Step 2: Convert to fraction form
    10,107/13,947.66 = 5,691/x
  3. Step 3: Cross multiply
    10,107x = 13,947.66 × 5,691
  4. Step 4: Simplify right side
    10,107x = 79,376,133.06
  5. Step 5: Solve for x
    x = 79,376,133.06/10,107
  6. Step 6: Final answer
    x = 7,853.58

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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.