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Finding the Fourth Proportional to 30,944.84, 42,682.74 and 19,761.80

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Solution

The fourth proportional to 30,944.84, 42,682.74 and 19,761.80 is: 27,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944.84 : 42,682.74 = 19,761.80 : x
  2. Step 2: Convert to fraction form
    30,944.84/42,682.74 = 19,761.80/x
  3. Step 3: Cross multiply
    30,944.84x = 42,682.74 × 19,761.80
  4. Step 4: Simplify right side
    30,944.84x = 843,487,771.33
  5. Step 5: Solve for x
    x = 843,487,771.33/30,944.84
  6. Step 6: Final answer
    x = 27,257.78

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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.