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Finding the Fourth Proportional to 3,103.82, 4,655.60 and 763.83

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Solution

The fourth proportional to 3,103.82, 4,655.60 and 763.83 is: 1,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.82 : 4,655.60 = 763.83 : x
  2. Step 2: Convert to fraction form
    3,103.82/4,655.60 = 763.83/x
  3. Step 3: Cross multiply
    3,103.82x = 4,655.60 × 763.83
  4. Step 4: Simplify right side
    3,103.82x = 3,556,085.99
  5. Step 5: Solve for x
    x = 3,556,085.99/3,103.82
  6. Step 6: Final answer
    x = 1,145.71

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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.