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Finding the Fourth Proportional to 2,146.82, 3,220.24 and 607.82

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Solution

The fourth proportional to 2,146.82, 3,220.24 and 607.82 is: 911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.82 : 3,220.24 = 607.82 : x
  2. Step 2: Convert to fraction form
    2,146.82/3,220.24 = 607.82/x
  3. Step 3: Cross multiply
    2,146.82x = 3,220.24 × 607.82
  4. Step 4: Simplify right side
    2,146.82x = 1,957,326.28
  5. Step 5: Solve for x
    x = 1,957,326.28/2,146.82
  6. Step 6: Final answer
    x = 911.73

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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.