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Finding the Fourth Proportional to 31,785, 43,851.96 and 19,843.80

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Solution

The fourth proportional to 31,785, 43,851.96 and 19,843.80 is: 27,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785 : 43,851.96 = 19,843.80 : x
  2. Step 2: Convert to fraction form
    31,785/43,851.96 = 19,843.80/x
  3. Step 3: Cross multiply
    31,785x = 43,851.96 × 19,843.80
  4. Step 4: Simplify right side
    31,785x = 870,189,523.85
  5. Step 5: Solve for x
    x = 870,189,523.85/31,785
  6. Step 6: Final answer
    x = 27,377.36

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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.