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Finding the Fourth Proportional to 20,199.52, 27,871.09 and 11,701.13

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Solution

The fourth proportional to 20,199.52, 27,871.09 and 11,701.13 is: 16,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.52 : 27,871.09 = 11,701.13 : x
  2. Step 2: Convert to fraction form
    20,199.52/27,871.09 = 11,701.13/x
  3. Step 3: Cross multiply
    20,199.52x = 27,871.09 × 11,701.13
  4. Step 4: Simplify right side
    20,199.52x = 326,123,247.33
  5. Step 5: Solve for x
    x = 326,123,247.33/20,199.52
  6. Step 6: Final answer
    x = 16,145.10

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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.