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Finding the Fourth Proportional to 11,195.29, 15,450.25 and 7,411.91

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Solution

The fourth proportional to 11,195.29, 15,450.25 and 7,411.91 is: 10,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,195.29 : 15,450.25 = 7,411.91 : x
  2. Step 2: Convert to fraction form
    11,195.29/15,450.25 = 7,411.91/x
  3. Step 3: Cross multiply
    11,195.29x = 15,450.25 × 7,411.91
  4. Step 4: Simplify right side
    11,195.29x = 114,515,862.48
  5. Step 5: Solve for x
    x = 114,515,862.48/11,195.29
  6. Step 6: Final answer
    x = 10,228.94

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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.