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Finding the Fourth Proportional to 11,949.78, 16,486.29 and 7,232.34

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Solution

The fourth proportional to 11,949.78, 16,486.29 and 7,232.34 is: 9,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.78 : 16,486.29 = 7,232.34 : x
  2. Step 2: Convert to fraction form
    11,949.78/16,486.29 = 7,232.34/x
  3. Step 3: Cross multiply
    11,949.78x = 16,486.29 × 7,232.34
  4. Step 4: Simplify right side
    11,949.78x = 119,234,454.62
  5. Step 5: Solve for x
    x = 119,234,454.62/11,949.78
  6. Step 6: Final answer
    x = 9,977.96

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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.