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Finding the Fourth Proportional to 9,991.10, 14,974.98 and 7,517.97

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Solution

The fourth proportional to 9,991.10, 14,974.98 and 7,517.97 is: 11,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.10 : 14,974.98 = 7,517.97 : x
  2. Step 2: Convert to fraction form
    9,991.10/14,974.98 = 7,517.97/x
  3. Step 3: Cross multiply
    9,991.10x = 14,974.98 × 7,517.97
  4. Step 4: Simplify right side
    9,991.10x = 112,581,450.39
  5. Step 5: Solve for x
    x = 112,581,450.39/9,991.10
  6. Step 6: Final answer
    x = 11,268.17

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Why These Related Problems?

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