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Finding the Fourth Proportional to 3,909.76, 5,863.22 and 1,135.68

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Solution

The fourth proportional to 3,909.76, 5,863.22 and 1,135.68 is: 1,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.76 : 5,863.22 = 1,135.68 : x
  2. Step 2: Convert to fraction form
    3,909.76/5,863.22 = 1,135.68/x
  3. Step 3: Cross multiply
    3,909.76x = 5,863.22 × 1,135.68
  4. Step 4: Simplify right side
    3,909.76x = 6,658,741.69
  5. Step 5: Solve for x
    x = 6,658,741.69/3,909.76
  6. Step 6: Final answer
    x = 1,703.11

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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.