Home / 21,824.82-32,751.57-11,971

Finding the Fourth Proportional to 21,824.82, 32,751.57 and 11,971

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Solution

The fourth proportional to 21,824.82, 32,751.57 and 11,971 is: 17,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.82 : 32,751.57 = 11,971 : x
  2. Step 2: Convert to fraction form
    21,824.82/32,751.57 = 11,971/x
  3. Step 3: Cross multiply
    21,824.82x = 32,751.57 × 11,971
  4. Step 4: Simplify right side
    21,824.82x = 392,069,044.47
  5. Step 5: Solve for x
    x = 392,069,044.47/21,824.82
  6. Step 6: Final answer
    x = 17,964.37

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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.