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Finding the Fourth Proportional to 2,062.32, 3,093.84 and 763.80

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Solution

The fourth proportional to 2,062.32, 3,093.84 and 763.80 is: 1,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.32 : 3,093.84 = 763.80 : x
  2. Step 2: Convert to fraction form
    2,062.32/3,093.84 = 763.80/x
  3. Step 3: Cross multiply
    2,062.32x = 3,093.84 × 763.80
  4. Step 4: Simplify right side
    2,062.32x = 2,363,074.99
  5. Step 5: Solve for x
    x = 2,363,074.99/2,062.32
  6. Step 6: Final answer
    x = 1,145.83

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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.