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Finding the Fourth Proportional to 2,116.25, 3,174.52 and 655.21

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Solution

The fourth proportional to 2,116.25, 3,174.52 and 655.21 is: 982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.25 : 3,174.52 = 655.21 : x
  2. Step 2: Convert to fraction form
    2,116.25/3,174.52 = 655.21/x
  3. Step 3: Cross multiply
    2,116.25x = 3,174.52 × 655.21
  4. Step 4: Simplify right side
    2,116.25x = 2,079,977.25
  5. Step 5: Solve for x
    x = 2,079,977.25/2,116.25
  6. Step 6: Final answer
    x = 982.86

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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.