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Finding the Fourth Proportional to 31,786, 43,864.68 and 20,608

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Solution

The fourth proportional to 31,786, 43,864.68 and 20,608 is: 28,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,786 : 43,864.68 = 20,608 : x
  2. Step 2: Convert to fraction form
    31,786/43,864.68 = 20,608/x
  3. Step 3: Cross multiply
    31,786x = 43,864.68 × 20,608
  4. Step 4: Simplify right side
    31,786x = 903,963,325.44
  5. Step 5: Solve for x
    x = 903,963,325.44/31,786
  6. Step 6: Final answer
    x = 28,439.04

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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.