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Finding the Fourth Proportional to 20,613.69, 28,446.90 and 11,661

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Solution

The fourth proportional to 20,613.69, 28,446.90 and 11,661 is: 16,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,613.69 : 28,446.90 = 11,661 : x
  2. Step 2: Convert to fraction form
    20,613.69/28,446.90 = 11,661/x
  3. Step 3: Cross multiply
    20,613.69x = 28,446.90 × 11,661
  4. Step 4: Simplify right side
    20,613.69x = 331,719,271.75
  5. Step 5: Solve for x
    x = 331,719,271.75/20,613.69
  6. Step 6: Final answer
    x = 16,092.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.