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Finding the Fourth Proportional to 36,782.28, 55,168.11 and 11,819.07

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Solution

The fourth proportional to 36,782.28, 55,168.11 and 11,819.07 is: 17,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,782.28 : 55,168.11 = 11,819.07 : x
  2. Step 2: Convert to fraction form
    36,782.28/55,168.11 = 11,819.07/x
  3. Step 3: Cross multiply
    36,782.28x = 55,168.11 × 11,819.07
  4. Step 4: Simplify right side
    36,782.28x = 652,035,753.86
  5. Step 5: Solve for x
    x = 652,035,753.86/36,782.28
  6. Step 6: Final answer
    x = 17,726.90

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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.