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Finding the Fourth Proportional to 18,294.78, 27,436.71 and 7,764.66

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Solution

The fourth proportional to 18,294.78, 27,436.71 and 7,764.66 is: 11,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,294.78 : 27,436.71 = 7,764.66 : x
  2. Step 2: Convert to fraction form
    18,294.78/27,436.71 = 7,764.66/x
  3. Step 3: Cross multiply
    18,294.78x = 27,436.71 × 7,764.66
  4. Step 4: Simplify right side
    18,294.78x = 213,036,724.67
  5. Step 5: Solve for x
    x = 213,036,724.67/18,294.78
  6. Step 6: Final answer
    x = 11,644.67

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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.