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Finding the Fourth Proportional to 3,833.64, 5,285.46 and 2,837.19

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Solution

The fourth proportional to 3,833.64, 5,285.46 and 2,837.19 is: 3,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.64 : 5,285.46 = 2,837.19 : x
  2. Step 2: Convert to fraction form
    3,833.64/5,285.46 = 2,837.19/x
  3. Step 3: Cross multiply
    3,833.64x = 5,285.46 × 2,837.19
  4. Step 4: Simplify right side
    3,833.64x = 14,995,854.26
  5. Step 5: Solve for x
    x = 14,995,854.26/3,833.64
  6. Step 6: Final answer
    x = 3,911.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.