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Finding the Fourth Proportional to 2,081.66, 3,123 and 620.80

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Solution

The fourth proportional to 2,081.66, 3,123 and 620.80 is: 931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.66 : 3,123 = 620.80 : x
  2. Step 2: Convert to fraction form
    2,081.66/3,123 = 620.80/x
  3. Step 3: Cross multiply
    2,081.66x = 3,123 × 620.80
  4. Step 4: Simplify right side
    2,081.66x = 1,938,758.40
  5. Step 5: Solve for x
    x = 1,938,758.40/2,081.66
  6. Step 6: Final answer
    x = 931.35

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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.