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Finding the Fourth Proportional to 21,323.25, 31,984.88 and 7,472.25

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Solution

The fourth proportional to 21,323.25, 31,984.88 and 7,472.25 is: 11,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323.25 : 31,984.88 = 7,472.25 : x
  2. Step 2: Convert to fraction form
    21,323.25/31,984.88 = 7,472.25/x
  3. Step 3: Cross multiply
    21,323.25x = 31,984.88 × 7,472.25
  4. Step 4: Simplify right side
    21,323.25x = 238,998,982.22
  5. Step 5: Solve for x
    x = 238,998,982.22/21,323.25
  6. Step 6: Final answer
    x = 11,208.38

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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.