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Finding the Fourth Proportional to 21,991.78, 32,943.72 and 13,221.94

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Solution

The fourth proportional to 21,991.78, 32,943.72 and 13,221.94 is: 19,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991.78 : 32,943.72 = 13,221.94 : x
  2. Step 2: Convert to fraction form
    21,991.78/32,943.72 = 13,221.94/x
  3. Step 3: Cross multiply
    21,991.78x = 32,943.72 × 13,221.94
  4. Step 4: Simplify right side
    21,991.78x = 435,579,889.22
  5. Step 5: Solve for x
    x = 435,579,889.22/21,991.78
  6. Step 6: Final answer
    x = 19,806.49

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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.