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Finding the Fourth Proportional to 20,213.80, 27,894.74 and 11,717.08

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Solution

The fourth proportional to 20,213.80, 27,894.74 and 11,717.08 is: 16,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.80 : 27,894.74 = 11,717.08 : x
  2. Step 2: Convert to fraction form
    20,213.80/27,894.74 = 11,717.08/x
  3. Step 3: Cross multiply
    20,213.80x = 27,894.74 × 11,717.08
  4. Step 4: Simplify right side
    20,213.80x = 326,844,900.16
  5. Step 5: Solve for x
    x = 326,844,900.16/20,213.80
  6. Step 6: Final answer
    x = 16,169.39

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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.