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Finding the Fourth Proportional to 2,081.64, 3,122.46 and 620.79

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Solution

The fourth proportional to 2,081.64, 3,122.46 and 620.79 is: 931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.64 : 3,122.46 = 620.79 : x
  2. Step 2: Convert to fraction form
    2,081.64/3,122.46 = 620.79/x
  3. Step 3: Cross multiply
    2,081.64x = 3,122.46 × 620.79
  4. Step 4: Simplify right side
    2,081.64x = 1,938,385.96
  5. Step 5: Solve for x
    x = 1,938,385.96/2,081.64
  6. Step 6: Final answer
    x = 931.18

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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.