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Finding the Fourth Proportional to 21,940.61, 32,916.11 and 7,149.60

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Solution

The fourth proportional to 21,940.61, 32,916.11 and 7,149.60 is: 10,726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,940.61 : 32,916.11 = 7,149.60 : x
  2. Step 2: Convert to fraction form
    21,940.61/32,916.11 = 7,149.60/x
  3. Step 3: Cross multiply
    21,940.61x = 32,916.11 × 7,149.60
  4. Step 4: Simplify right side
    21,940.61x = 235,336,984.31
  5. Step 5: Solve for x
    x = 235,336,984.31/21,940.61
  6. Step 6: Final answer
    x = 10,726.09

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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.