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Finding the Fourth Proportional to 2,173.97, 3,261.53 and 613.98

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Solution

The fourth proportional to 2,173.97, 3,261.53 and 613.98 is: 921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.97 : 3,261.53 = 613.98 : x
  2. Step 2: Convert to fraction form
    2,173.97/3,261.53 = 613.98/x
  3. Step 3: Cross multiply
    2,173.97x = 3,261.53 × 613.98
  4. Step 4: Simplify right side
    2,173.97x = 2,002,515.72
  5. Step 5: Solve for x
    x = 2,002,515.72/2,173.97
  6. Step 6: Final answer
    x = 921.13

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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.