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Finding the Fourth Proportional to 3,801.15, 5,701.15 and 1,203.75

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Solution

The fourth proportional to 3,801.15, 5,701.15 and 1,203.75 is: 1,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.15 : 5,701.15 = 1,203.75 : x
  2. Step 2: Convert to fraction form
    3,801.15/5,701.15 = 1,203.75/x
  3. Step 3: Cross multiply
    3,801.15x = 5,701.15 × 1,203.75
  4. Step 4: Simplify right side
    3,801.15x = 6,862,759.31
  5. Step 5: Solve for x
    x = 6,862,759.31/3,801.15
  6. Step 6: Final answer
    x = 1,805.44

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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.