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Finding the Fourth Proportional to 9,879.65, 14,820.92 and 3,213.96

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Solution

The fourth proportional to 9,879.65, 14,820.92 and 3,213.96 is: 4,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.65 : 14,820.92 = 3,213.96 : x
  2. Step 2: Convert to fraction form
    9,879.65/14,820.92 = 3,213.96/x
  3. Step 3: Cross multiply
    9,879.65x = 14,820.92 × 3,213.96
  4. Step 4: Simplify right side
    9,879.65x = 47,633,844.04
  5. Step 5: Solve for x
    x = 47,633,844.04/9,879.65
  6. Step 6: Final answer
    x = 4,821.41

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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.