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Finding the Fourth Proportional to 3,799.64, 5,703.12 and 1,853.22

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Solution

The fourth proportional to 3,799.64, 5,703.12 and 1,853.22 is: 2,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.64 : 5,703.12 = 1,853.22 : x
  2. Step 2: Convert to fraction form
    3,799.64/5,703.12 = 1,853.22/x
  3. Step 3: Cross multiply
    3,799.64x = 5,703.12 × 1,853.22
  4. Step 4: Simplify right side
    3,799.64x = 10,569,136.05
  5. Step 5: Solve for x
    x = 10,569,136.05/3,799.64
  6. Step 6: Final answer
    x = 2,781.62

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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.