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Finding the Fourth Proportional to 11,942.96, 16,482.80 and 7,227.28

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Solution

The fourth proportional to 11,942.96, 16,482.80 and 7,227.28 is: 9,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.96 : 16,482.80 = 7,227.28 : x
  2. Step 2: Convert to fraction form
    11,942.96/16,482.80 = 7,227.28/x
  3. Step 3: Cross multiply
    11,942.96x = 16,482.80 × 7,227.28
  4. Step 4: Simplify right side
    11,942.96x = 119,125,810.78
  5. Step 5: Solve for x
    x = 119,125,810.78/11,942.96
  6. Step 6: Final answer
    x = 9,974.56

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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.