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Finding the Fourth Proportional to 21,220.75, 31,845.75 and 7,369.75

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Solution

The fourth proportional to 21,220.75, 31,845.75 and 7,369.75 is: 11,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,220.75 : 31,845.75 = 7,369.75 : x
  2. Step 2: Convert to fraction form
    21,220.75/31,845.75 = 7,369.75/x
  3. Step 3: Cross multiply
    21,220.75x = 31,845.75 × 7,369.75
  4. Step 4: Simplify right side
    21,220.75x = 234,695,216.06
  5. Step 5: Solve for x
    x = 234,695,216.06/21,220.75
  6. Step 6: Final answer
    x = 11,059.70

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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.