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Finding the Fourth Proportional to 3,894.58, 5,372.52 and 2,567.80

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Solution

The fourth proportional to 3,894.58, 5,372.52 and 2,567.80 is: 3,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.58 : 5,372.52 = 2,567.80 : x
  2. Step 2: Convert to fraction form
    3,894.58/5,372.52 = 2,567.80/x
  3. Step 3: Cross multiply
    3,894.58x = 5,372.52 × 2,567.80
  4. Step 4: Simplify right side
    3,894.58x = 13,795,556.86
  5. Step 5: Solve for x
    x = 13,795,556.86/3,894.58
  6. Step 6: Final answer
    x = 3,542.25

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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.