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Finding the Fourth Proportional to 3,863.80, 5,781.30 and 2,567.80

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Solution

The fourth proportional to 3,863.80, 5,781.30 and 2,567.80 is: 3,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.80 : 5,781.30 = 2,567.80 : x
  2. Step 2: Convert to fraction form
    3,863.80/5,781.30 = 2,567.80/x
  3. Step 3: Cross multiply
    3,863.80x = 5,781.30 × 2,567.80
  4. Step 4: Simplify right side
    3,863.80x = 14,845,222.14
  5. Step 5: Solve for x
    x = 14,845,222.14/3,863.80
  6. Step 6: Final answer
    x = 3,842.13

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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.