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Finding the Fourth Proportional to 20,916.48, 31,379.52 and 8,604.48

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Solution

The fourth proportional to 20,916.48, 31,379.52 and 8,604.48 is: 12,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916.48 : 31,379.52 = 8,604.48 : x
  2. Step 2: Convert to fraction form
    20,916.48/31,379.52 = 8,604.48/x
  3. Step 3: Cross multiply
    20,916.48x = 31,379.52 × 8,604.48
  4. Step 4: Simplify right side
    20,916.48x = 270,004,452.25
  5. Step 5: Solve for x
    x = 270,004,452.25/20,916.48
  6. Step 6: Final answer
    x = 12,908.69

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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.