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Finding the Fourth Proportional to 31,786, 43,864.80 and 17,640.88

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Solution

The fourth proportional to 31,786, 43,864.80 and 17,640.88 is: 24,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,786 : 43,864.80 = 17,640.88 : x
  2. Step 2: Convert to fraction form
    31,786/43,864.80 = 17,640.88/x
  3. Step 3: Cross multiply
    31,786x = 43,864.80 × 17,640.88
  4. Step 4: Simplify right side
    31,786x = 773,813,673.02
  5. Step 5: Solve for x
    x = 773,813,673.02/31,786
  6. Step 6: Final answer
    x = 24,344.48

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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.