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Finding the Fourth Proportional to 27,583.78, 41,396.46 and 20,207.11

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Solution

The fourth proportional to 27,583.78, 41,396.46 and 20,207.11 is: 30,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,583.78 : 41,396.46 = 20,207.11 : x
  2. Step 2: Convert to fraction form
    27,583.78/41,396.46 = 20,207.11/x
  3. Step 3: Cross multiply
    27,583.78x = 41,396.46 × 20,207.11
  4. Step 4: Simplify right side
    27,583.78x = 836,502,820.83
  5. Step 5: Solve for x
    x = 836,502,820.83/27,583.78
  6. Step 6: Final answer
    x = 30,325.90

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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.