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Finding the Fourth Proportional to 21,927.66, 32,891.89 and 7,136.52

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Solution

The fourth proportional to 21,927.66, 32,891.89 and 7,136.52 is: 10,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927.66 : 32,891.89 = 7,136.52 : x
  2. Step 2: Convert to fraction form
    21,927.66/32,891.89 = 7,136.52/x
  3. Step 3: Cross multiply
    21,927.66x = 32,891.89 × 7,136.52
  4. Step 4: Simplify right side
    21,927.66x = 234,733,630.82
  5. Step 5: Solve for x
    x = 234,733,630.82/21,927.66
  6. Step 6: Final answer
    x = 10,704.91

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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.