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Finding the Fourth Proportional to 10,109, 13,949.88 and 5,571.53

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Solution

The fourth proportional to 10,109, 13,949.88 and 5,571.53 is: 7,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109 : 13,949.88 = 5,571.53 : x
  2. Step 2: Convert to fraction form
    10,109/13,949.88 = 5,571.53/x
  3. Step 3: Cross multiply
    10,109x = 13,949.88 × 5,571.53
  4. Step 4: Simplify right side
    10,109x = 77,722,174.92
  5. Step 5: Solve for x
    x = 77,722,174.92/10,109
  6. Step 6: Final answer
    x = 7,688.41

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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.