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Finding the Fourth Proportional to 36,521.34, 54,782 and 8,819.34

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Solution

The fourth proportional to 36,521.34, 54,782 and 8,819.34 is: 13,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,521.34 : 54,782 = 8,819.34 : x
  2. Step 2: Convert to fraction form
    36,521.34/54,782 = 8,819.34/x
  3. Step 3: Cross multiply
    36,521.34x = 54,782 × 8,819.34
  4. Step 4: Simplify right side
    36,521.34x = 483,141,083.88
  5. Step 5: Solve for x
    x = 483,141,083.88/36,521.34
  6. Step 6: Final answer
    x = 13,229.01

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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.