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Finding the Fourth Proportional to 33,911, 46,797.18 and 20,663

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Solution

The fourth proportional to 33,911, 46,797.18 and 20,663 is: 28,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,911 : 46,797.18 = 20,663 : x
  2. Step 2: Convert to fraction form
    33,911/46,797.18 = 20,663/x
  3. Step 3: Cross multiply
    33,911x = 46,797.18 × 20,663
  4. Step 4: Simplify right side
    33,911x = 966,970,130.34
  5. Step 5: Solve for x
    x = 966,970,130.34/33,911
  6. Step 6: Final answer
    x = 28,514.94

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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.