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Finding the Fourth Proportional to 21,732.08, 32,605.11 and 9,890.09

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Solution

The fourth proportional to 21,732.08, 32,605.11 and 9,890.09 is: 14,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.08 : 32,605.11 = 9,890.09 : x
  2. Step 2: Convert to fraction form
    21,732.08/32,605.11 = 9,890.09/x
  3. Step 3: Cross multiply
    21,732.08x = 32,605.11 × 9,890.09
  4. Step 4: Simplify right side
    21,732.08x = 322,467,309.33
  5. Step 5: Solve for x
    x = 322,467,309.33/21,732.08
  6. Step 6: Final answer
    x = 14,838.31

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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.