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Finding the Fourth Proportional to 19,781.58, 27,286.29 and 12,230.22

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Solution

The fourth proportional to 19,781.58, 27,286.29 and 12,230.22 is: 16,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.58 : 27,286.29 = 12,230.22 : x
  2. Step 2: Convert to fraction form
    19,781.58/27,286.29 = 12,230.22/x
  3. Step 3: Cross multiply
    19,781.58x = 27,286.29 × 12,230.22
  4. Step 4: Simplify right side
    19,781.58x = 333,717,329.68
  5. Step 5: Solve for x
    x = 333,717,329.68/19,781.58
  6. Step 6: Final answer
    x = 16,870.10

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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.