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Finding the Fourth Proportional to 2,261.43, 3,392.03 and 617.94

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Solution

The fourth proportional to 2,261.43, 3,392.03 and 617.94 is: 926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.43 : 3,392.03 = 617.94 : x
  2. Step 2: Convert to fraction form
    2,261.43/3,392.03 = 617.94/x
  3. Step 3: Cross multiply
    2,261.43x = 3,392.03 × 617.94
  4. Step 4: Simplify right side
    2,261.43x = 2,096,072.56
  5. Step 5: Solve for x
    x = 2,096,072.56/2,261.43
  6. Step 6: Final answer
    x = 926.88

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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.