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Finding the Fourth Proportional to 20,833.80, 28,743.50 and 11,874.84

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Solution

The fourth proportional to 20,833.80, 28,743.50 and 11,874.84 is: 16,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.80 : 28,743.50 = 11,874.84 : x
  2. Step 2: Convert to fraction form
    20,833.80/28,743.50 = 11,874.84/x
  3. Step 3: Cross multiply
    20,833.80x = 28,743.50 × 11,874.84
  4. Step 4: Simplify right side
    20,833.80x = 341,324,404.17
  5. Step 5: Solve for x
    x = 341,324,404.17/20,833.80
  6. Step 6: Final answer
    x = 16,383.20

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1.5x scale

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.