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Finding the Fourth Proportional to 3,757.83, 5,636.12 and 1,909.77

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Solution

The fourth proportional to 3,757.83, 5,636.12 and 1,909.77 is: 2,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.83 : 5,636.12 = 1,909.77 : x
  2. Step 2: Convert to fraction form
    3,757.83/5,636.12 = 1,909.77/x
  3. Step 3: Cross multiply
    3,757.83x = 5,636.12 × 1,909.77
  4. Step 4: Simplify right side
    3,757.83x = 10,763,683.34
  5. Step 5: Solve for x
    x = 10,763,683.34/3,757.83
  6. Step 6: Final answer
    x = 2,864.33

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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.