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Finding the Fourth Proportional to 2,261.07, 3,391.22 and 617.22

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Solution

The fourth proportional to 2,261.07, 3,391.22 and 617.22 is: 925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.07 : 3,391.22 = 617.22 : x
  2. Step 2: Convert to fraction form
    2,261.07/3,391.22 = 617.22/x
  3. Step 3: Cross multiply
    2,261.07x = 3,391.22 × 617.22
  4. Step 4: Simplify right side
    2,261.07x = 2,093,125.72
  5. Step 5: Solve for x
    x = 2,093,125.72/2,261.07
  6. Step 6: Final answer
    x = 925.72

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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.