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Finding the Fourth Proportional to 21,930.66, 32,890.97 and 6,136.82

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Solution

The fourth proportional to 21,930.66, 32,890.97 and 6,136.82 is: 9,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.66 : 32,890.97 = 6,136.82 : x
  2. Step 2: Convert to fraction form
    21,930.66/32,890.97 = 6,136.82/x
  3. Step 3: Cross multiply
    21,930.66x = 32,890.97 × 6,136.82
  4. Step 4: Simplify right side
    21,930.66x = 201,845,767.38
  5. Step 5: Solve for x
    x = 201,845,767.38/21,930.66
  6. Step 6: Final answer
    x = 9,203.82

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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.