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Finding the Fourth Proportional to 31,685.31, 43,686 and 20,334.78

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Solution

The fourth proportional to 31,685.31, 43,686 and 20,334.78 is: 28,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,685.31 : 43,686 = 20,334.78 : x
  2. Step 2: Convert to fraction form
    31,685.31/43,686 = 20,334.78/x
  3. Step 3: Cross multiply
    31,685.31x = 43,686 × 20,334.78
  4. Step 4: Simplify right side
    31,685.31x = 888,345,199.08
  5. Step 5: Solve for x
    x = 888,345,199.08/31,685.31
  6. Step 6: Final answer
    x = 28,036.50

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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.