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Finding the Fourth Proportional to 13,886.91, 20,821.10 and 7,649.91

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Solution

The fourth proportional to 13,886.91, 20,821.10 and 7,649.91 is: 11,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.91 : 20,821.10 = 7,649.91 : x
  2. Step 2: Convert to fraction form
    13,886.91/20,821.10 = 7,649.91/x
  3. Step 3: Cross multiply
    13,886.91x = 20,821.10 × 7,649.91
  4. Step 4: Simplify right side
    13,886.91x = 159,279,502.85
  5. Step 5: Solve for x
    x = 159,279,502.85/13,886.91
  6. Step 6: Final answer
    x = 11,469.76

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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.