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Finding the Fourth Proportional to 15,161.72, 22,732.25 and 7,760.16

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Solution

The fourth proportional to 15,161.72, 22,732.25 and 7,760.16 is: 11,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,161.72 : 22,732.25 = 7,760.16 : x
  2. Step 2: Convert to fraction form
    15,161.72/22,732.25 = 7,760.16/x
  3. Step 3: Cross multiply
    15,161.72x = 22,732.25 × 7,760.16
  4. Step 4: Simplify right side
    15,161.72x = 176,405,858.36
  5. Step 5: Solve for x
    x = 176,405,858.36/15,161.72
  6. Step 6: Final answer
    x = 11,634.95

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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.