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Finding the Fourth Proportional to 17,996.80, 24,822.20 and 13,215.25

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Solution

The fourth proportional to 17,996.80, 24,822.20 and 13,215.25 is: 18,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,996.80 : 24,822.20 = 13,215.25 : x
  2. Step 2: Convert to fraction form
    17,996.80/24,822.20 = 13,215.25/x
  3. Step 3: Cross multiply
    17,996.80x = 24,822.20 × 13,215.25
  4. Step 4: Simplify right side
    17,996.80x = 328,031,578.55
  5. Step 5: Solve for x
    x = 328,031,578.55/17,996.80
  6. Step 6: Final answer
    x = 18,227.22

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1.5x scale

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.