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Finding the Fourth Proportional to 31,681.50, 47,469.78 and 22,275.57

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Solution

The fourth proportional to 31,681.50, 47,469.78 and 22,275.57 is: 33,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.50 : 47,469.78 = 22,275.57 : x
  2. Step 2: Convert to fraction form
    31,681.50/47,469.78 = 22,275.57/x
  3. Step 3: Cross multiply
    31,681.50x = 47,469.78 × 22,275.57
  4. Step 4: Simplify right side
    31,681.50x = 1,057,416,145.73
  5. Step 5: Solve for x
    x = 1,057,416,145.73/31,681.50
  6. Step 6: Final answer
    x = 33,376.45

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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.