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Finding the Fourth Proportional to 3,864, 5,334.64 and 2,540

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Solution

The fourth proportional to 3,864, 5,334.64 and 2,540 is: 3,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864 : 5,334.64 = 2,540 : x
  2. Step 2: Convert to fraction form
    3,864/5,334.64 = 2,540/x
  3. Step 3: Cross multiply
    3,864x = 5,334.64 × 2,540
  4. Step 4: Simplify right side
    3,864x = 13,549,985.60
  5. Step 5: Solve for x
    x = 13,549,985.60/3,864
  6. Step 6: Final answer
    x = 3,506.73

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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.