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Finding the Fourth Proportional to 21,984, 30,329.96 and 13,367.22

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Solution

The fourth proportional to 21,984, 30,329.96 and 13,367.22 is: 18,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984 : 30,329.96 = 13,367.22 : x
  2. Step 2: Convert to fraction form
    21,984/30,329.96 = 13,367.22/x
  3. Step 3: Cross multiply
    21,984x = 30,329.96 × 13,367.22
  4. Step 4: Simplify right side
    21,984x = 405,427,247.91
  5. Step 5: Solve for x
    x = 405,427,247.91/21,984
  6. Step 6: Final answer
    x = 18,441.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.