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Finding the Fourth Proportional to 33,012, 45,536.40 and 21,682.80

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Solution

The fourth proportional to 33,012, 45,536.40 and 21,682.80 is: 29,909.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012 : 45,536.40 = 21,682.80 : x
  2. Step 2: Convert to fraction form
    33,012/45,536.40 = 21,682.80/x
  3. Step 3: Cross multiply
    33,012x = 45,536.40 × 21,682.80
  4. Step 4: Simplify right side
    33,012x = 987,356,653.92
  5. Step 5: Solve for x
    x = 987,356,653.92/33,012
  6. Step 6: Final answer
    x = 29,909.02

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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.