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Finding the Fourth Proportional to 21,276.41, 31,914.78 and 7,952.41

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Solution

The fourth proportional to 21,276.41, 31,914.78 and 7,952.41 is: 11,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,276.41 : 31,914.78 = 7,952.41 : x
  2. Step 2: Convert to fraction form
    21,276.41/31,914.78 = 7,952.41/x
  3. Step 3: Cross multiply
    21,276.41x = 31,914.78 × 7,952.41
  4. Step 4: Simplify right side
    21,276.41x = 253,799,425.69
  5. Step 5: Solve for x
    x = 253,799,425.69/21,276.41
  6. Step 6: Final answer
    x = 11,928.68

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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.