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Finding the Fourth Proportional to 20,202.12, 27,879.12 and 11,817

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Solution

The fourth proportional to 20,202.12, 27,879.12 and 11,817 is: 16,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.12 : 27,879.12 = 11,817 : x
  2. Step 2: Convert to fraction form
    20,202.12/27,879.12 = 11,817/x
  3. Step 3: Cross multiply
    20,202.12x = 27,879.12 × 11,817
  4. Step 4: Simplify right side
    20,202.12x = 329,447,561.04
  5. Step 5: Solve for x
    x = 329,447,561.04/20,202.12
  6. Step 6: Final answer
    x = 16,307.57

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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.