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Finding the Fourth Proportional to 33,418, 46,116.85 and 19,989.82

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Solution

The fourth proportional to 33,418, 46,116.85 and 19,989.82 is: 27,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,418 : 46,116.85 = 19,989.82 : x
  2. Step 2: Convert to fraction form
    33,418/46,116.85 = 19,989.82/x
  3. Step 3: Cross multiply
    33,418x = 46,116.85 × 19,989.82
  4. Step 4: Simplify right side
    33,418x = 921,867,530.47
  5. Step 5: Solve for x
    x = 921,867,530.47/33,418
  6. Step 6: Final answer
    x = 27,585.96

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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.