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Finding the Fourth Proportional to 27,102.81, 40,601.61 and 19,974.10

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Solution

The fourth proportional to 27,102.81, 40,601.61 and 19,974.10 is: 29,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.81 : 40,601.61 = 19,974.10 : x
  2. Step 2: Convert to fraction form
    27,102.81/40,601.61 = 19,974.10/x
  3. Step 3: Cross multiply
    27,102.81x = 40,601.61 × 19,974.10
  4. Step 4: Simplify right side
    27,102.81x = 810,980,618.30
  5. Step 5: Solve for x
    x = 810,980,618.30/27,102.81
  6. Step 6: Final answer
    x = 29,922.38

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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.