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Finding the Fourth Proportional to 21,806, 32,709.32 and 6,223.62

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Solution

The fourth proportional to 21,806, 32,709.32 and 6,223.62 is: 9,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806 : 32,709.32 = 6,223.62 : x
  2. Step 2: Convert to fraction form
    21,806/32,709.32 = 6,223.62/x
  3. Step 3: Cross multiply
    21,806x = 32,709.32 × 6,223.62
  4. Step 4: Simplify right side
    21,806x = 203,570,378.14
  5. Step 5: Solve for x
    x = 203,570,378.14/21,806
  6. Step 6: Final answer
    x = 9,335.52

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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.