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Finding the Fourth Proportional to 27,243.78, 40,865.76 and 7,521.90

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Solution

The fourth proportional to 27,243.78, 40,865.76 and 7,521.90 is: 11,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243.78 : 40,865.76 = 7,521.90 : x
  2. Step 2: Convert to fraction form
    27,243.78/40,865.76 = 7,521.90/x
  3. Step 3: Cross multiply
    27,243.78x = 40,865.76 × 7,521.90
  4. Step 4: Simplify right side
    27,243.78x = 307,388,160.14
  5. Step 5: Solve for x
    x = 307,388,160.14/27,243.78
  6. Step 6: Final answer
    x = 11,282.87

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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.