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Finding the Fourth Proportional to 38,512, 57,759.70 and 22,490.84

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Solution

The fourth proportional to 38,512, 57,759.70 and 22,490.84 is: 33,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512 : 57,759.70 = 22,490.84 : x
  2. Step 2: Convert to fraction form
    38,512/57,759.70 = 22,490.84/x
  3. Step 3: Cross multiply
    38,512x = 57,759.70 × 22,490.84
  4. Step 4: Simplify right side
    38,512x = 1,299,064,171.15
  5. Step 5: Solve for x
    x = 1,299,064,171.15/38,512
  6. Step 6: Final answer
    x = 33,731.41

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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.