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Finding the Fourth Proportional to 10,107, 13,947.75 and 5,915.34

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Solution

The fourth proportional to 10,107, 13,947.75 and 5,915.34 is: 8,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107 : 13,947.75 = 5,915.34 : x
  2. Step 2: Convert to fraction form
    10,107/13,947.75 = 5,915.34/x
  3. Step 3: Cross multiply
    10,107x = 13,947.75 × 5,915.34
  4. Step 4: Simplify right side
    10,107x = 82,505,683.49
  5. Step 5: Solve for x
    x = 82,505,683.49/10,107
  6. Step 6: Final answer
    x = 8,163.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.