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Finding the Fourth Proportional to 21,662.89, 32,495.48 and 6,872.95

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Solution

The fourth proportional to 21,662.89, 32,495.48 and 6,872.95 is: 10,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.89 : 32,495.48 = 6,872.95 : x
  2. Step 2: Convert to fraction form
    21,662.89/32,495.48 = 6,872.95/x
  3. Step 3: Cross multiply
    21,662.89x = 32,495.48 × 6,872.95
  4. Step 4: Simplify right side
    21,662.89x = 223,339,809.27
  5. Step 5: Solve for x
    x = 223,339,809.27/21,662.89
  6. Step 6: Final answer
    x = 10,309.79

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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.