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Finding the Fourth Proportional to 12,177.44, 18,242.91 and 7,232.09

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Solution

The fourth proportional to 12,177.44, 18,242.91 and 7,232.09 is: 10,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.44 : 18,242.91 = 7,232.09 : x
  2. Step 2: Convert to fraction form
    12,177.44/18,242.91 = 7,232.09/x
  3. Step 3: Cross multiply
    12,177.44x = 18,242.91 × 7,232.09
  4. Step 4: Simplify right side
    12,177.44x = 131,934,275.77
  5. Step 5: Solve for x
    x = 131,934,275.77/12,177.44
  6. Step 6: Final answer
    x = 10,834.32

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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.