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Finding the Fourth Proportional to 2,078.31, 3,117.99 and 617.42

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Solution

The fourth proportional to 2,078.31, 3,117.99 and 617.42 is: 926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.31 : 3,117.99 = 617.42 : x
  2. Step 2: Convert to fraction form
    2,078.31/3,117.99 = 617.42/x
  3. Step 3: Cross multiply
    2,078.31x = 3,117.99 × 617.42
  4. Step 4: Simplify right side
    2,078.31x = 1,925,093.80
  5. Step 5: Solve for x
    x = 1,925,093.80/2,078.31
  6. Step 6: Final answer
    x = 926.28

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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.