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Finding the Fourth Proportional to 21,826.26, 32,751.18 and 8,678.79

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Solution

The fourth proportional to 21,826.26, 32,751.18 and 8,678.79 is: 13,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,826.26 : 32,751.18 = 8,678.79 : x
  2. Step 2: Convert to fraction form
    21,826.26/32,751.18 = 8,678.79/x
  3. Step 3: Cross multiply
    21,826.26x = 32,751.18 × 8,678.79
  4. Step 4: Simplify right side
    21,826.26x = 284,240,613.47
  5. Step 5: Solve for x
    x = 284,240,613.47/21,826.26
  6. Step 6: Final answer
    x = 13,022.87

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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.