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Finding the Fourth Proportional to 11,942.64, 17,876.97 and 10,171.17

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Solution

The fourth proportional to 11,942.64, 17,876.97 and 10,171.17 is: 15,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.64 : 17,876.97 = 10,171.17 : x
  2. Step 2: Convert to fraction form
    11,942.64/17,876.97 = 10,171.17/x
  3. Step 3: Cross multiply
    11,942.64x = 17,876.97 × 10,171.17
  4. Step 4: Simplify right side
    11,942.64x = 181,829,700.95
  5. Step 5: Solve for x
    x = 181,829,700.95/11,942.64
  6. Step 6: Final answer
    x = 15,225.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.