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Finding the Fourth Proportional to 30,393.20, 41,943.28 and 16,781.20

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Solution

The fourth proportional to 30,393.20, 41,943.28 and 16,781.20 is: 23,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,393.20 : 41,943.28 = 16,781.20 : x
  2. Step 2: Convert to fraction form
    30,393.20/41,943.28 = 16,781.20/x
  3. Step 3: Cross multiply
    30,393.20x = 41,943.28 × 16,781.20
  4. Step 4: Simplify right side
    30,393.20x = 703,858,496.93
  5. Step 5: Solve for x
    x = 703,858,496.93/30,393.20
  6. Step 6: Final answer
    x = 23,158.42

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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.