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Finding the Fourth Proportional to 21,222.75, 31,848.75 and 7,371.75

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Solution

The fourth proportional to 21,222.75, 31,848.75 and 7,371.75 is: 11,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222.75 : 31,848.75 = 7,371.75 : x
  2. Step 2: Convert to fraction form
    21,222.75/31,848.75 = 7,371.75/x
  3. Step 3: Cross multiply
    21,222.75x = 31,848.75 × 7,371.75
  4. Step 4: Simplify right side
    21,222.75x = 234,781,022.81
  5. Step 5: Solve for x
    x = 234,781,022.81/21,222.75
  6. Step 6: Final answer
    x = 11,062.71

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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.