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Finding the Fourth Proportional to 31,797.84, 43,874.94 and 18,190.20

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Solution

The fourth proportional to 31,797.84, 43,874.94 and 18,190.20 is: 25,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.84 : 43,874.94 = 18,190.20 : x
  2. Step 2: Convert to fraction form
    31,797.84/43,874.94 = 18,190.20/x
  3. Step 3: Cross multiply
    31,797.84x = 43,874.94 × 18,190.20
  4. Step 4: Simplify right side
    31,797.84x = 798,093,933.59
  5. Step 5: Solve for x
    x = 798,093,933.59/31,797.84
  6. Step 6: Final answer
    x = 25,099.00

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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.