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Finding the Fourth Proportional to 30,249.64, 41,744.82 and 16,820.20

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Solution

The fourth proportional to 30,249.64, 41,744.82 and 16,820.20 is: 23,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,249.64 : 41,744.82 = 16,820.20 : x
  2. Step 2: Convert to fraction form
    30,249.64/41,744.82 = 16,820.20/x
  3. Step 3: Cross multiply
    30,249.64x = 41,744.82 × 16,820.20
  4. Step 4: Simplify right side
    30,249.64x = 702,156,221.36
  5. Step 5: Solve for x
    x = 702,156,221.36/30,249.64
  6. Step 6: Final answer
    x = 23,212.05

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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.