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Finding the Fourth Proportional to 18,234.78, 27,356.78 and 5,087.15

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Solution

The fourth proportional to 18,234.78, 27,356.78 and 5,087.15 is: 7,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234.78 : 27,356.78 = 5,087.15 : x
  2. Step 2: Convert to fraction form
    18,234.78/27,356.78 = 5,087.15/x
  3. Step 3: Cross multiply
    18,234.78x = 27,356.78 × 5,087.15
  4. Step 4: Simplify right side
    18,234.78x = 139,167,919.31
  5. Step 5: Solve for x
    x = 139,167,919.31/18,234.78
  6. Step 6: Final answer
    x = 7,632.00

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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.