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Finding the Fourth Proportional to 21,493.65, 32,221.04 and 7,639.41

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Solution

The fourth proportional to 21,493.65, 32,221.04 and 7,639.41 is: 11,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493.65 : 32,221.04 = 7,639.41 : x
  2. Step 2: Convert to fraction form
    21,493.65/32,221.04 = 7,639.41/x
  3. Step 3: Cross multiply
    21,493.65x = 32,221.04 × 7,639.41
  4. Step 4: Simplify right side
    21,493.65x = 246,149,696.99
  5. Step 5: Solve for x
    x = 246,149,696.99/21,493.65
  6. Step 6: Final answer
    x = 11,452.21

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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.