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Finding the Fourth Proportional to 31,891.80, 47,784.80 and 22,485.96

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Solution

The fourth proportional to 31,891.80, 47,784.80 and 22,485.96 is: 33,691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.80 : 47,784.80 = 22,485.96 : x
  2. Step 2: Convert to fraction form
    31,891.80/47,784.80 = 22,485.96/x
  3. Step 3: Cross multiply
    31,891.80x = 47,784.80 × 22,485.96
  4. Step 4: Simplify right side
    31,891.80x = 1,074,487,101.41
  5. Step 5: Solve for x
    x = 1,074,487,101.41/31,891.80
  6. Step 6: Final answer
    x = 33,691.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.