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Finding the Fourth Proportional to 2,137.31, 3,205.97 and 598.31

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Solution

The fourth proportional to 2,137.31, 3,205.97 and 598.31 is: 897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.31 : 3,205.97 = 598.31 : x
  2. Step 2: Convert to fraction form
    2,137.31/3,205.97 = 598.31/x
  3. Step 3: Cross multiply
    2,137.31x = 3,205.97 × 598.31
  4. Step 4: Simplify right side
    2,137.31x = 1,918,163.91
  5. Step 5: Solve for x
    x = 1,918,163.91/2,137.31
  6. Step 6: Final answer
    x = 897.47

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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.