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Finding the Fourth Proportional to 10,141.75, 13,987.89 and 8,727.80

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Solution

The fourth proportional to 10,141.75, 13,987.89 and 8,727.80 is: 12,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.75 : 13,987.89 = 8,727.80 : x
  2. Step 2: Convert to fraction form
    10,141.75/13,987.89 = 8,727.80/x
  3. Step 3: Cross multiply
    10,141.75x = 13,987.89 × 8,727.80
  4. Step 4: Simplify right side
    10,141.75x = 122,083,436.40
  5. Step 5: Solve for x
    x = 122,083,436.40/10,141.75
  6. Step 6: Final answer
    x = 12,037.71

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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.