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Finding the Fourth Proportional to 31,205.71, 43,063.02 and 17,781.30

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Solution

The fourth proportional to 31,205.71, 43,063.02 and 17,781.30 is: 24,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.71 : 43,063.02 = 17,781.30 : x
  2. Step 2: Convert to fraction form
    31,205.71/43,063.02 = 17,781.30/x
  3. Step 3: Cross multiply
    31,205.71x = 43,063.02 × 17,781.30
  4. Step 4: Simplify right side
    31,205.71x = 765,716,306.40
  5. Step 5: Solve for x
    x = 765,716,306.40/31,205.71
  6. Step 6: Final answer
    x = 24,537.70

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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.