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Finding the Fourth Proportional to 10,181, 14,049.80 and 5,765

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Solution

The fourth proportional to 10,181, 14,049.80 and 5,765 is: 7,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181 : 14,049.80 = 5,765 : x
  2. Step 2: Convert to fraction form
    10,181/14,049.80 = 5,765/x
  3. Step 3: Cross multiply
    10,181x = 14,049.80 × 5,765
  4. Step 4: Simplify right side
    10,181x = 80,997,097
  5. Step 5: Solve for x
    x = 80,997,097/10,181
  6. Step 6: Final answer
    x = 7,955.71

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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.