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Finding the Fourth Proportional to 2,156.12, 3,233.94 and 617

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Solution

The fourth proportional to 2,156.12, 3,233.94 and 617 is: 925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.12 : 3,233.94 = 617 : x
  2. Step 2: Convert to fraction form
    2,156.12/3,233.94 = 617/x
  3. Step 3: Cross multiply
    2,156.12x = 3,233.94 × 617
  4. Step 4: Simplify right side
    2,156.12x = 1,995,340.98
  5. Step 5: Solve for x
    x = 1,995,340.98/2,156.12
  6. Step 6: Final answer
    x = 925.43

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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.