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Finding the Fourth Proportional to 33,492, 50,238 and 13,781.28

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Solution

The fourth proportional to 33,492, 50,238 and 13,781.28 is: 20,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,492 : 50,238 = 13,781.28 : x
  2. Step 2: Convert to fraction form
    33,492/50,238 = 13,781.28/x
  3. Step 3: Cross multiply
    33,492x = 50,238 × 13,781.28
  4. Step 4: Simplify right side
    33,492x = 692,343,944.64
  5. Step 5: Solve for x
    x = 692,343,944.64/33,492
  6. Step 6: Final answer
    x = 20,671.92

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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.