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Finding the Fourth Proportional to 3,858.78, 5,325 and 2,265.40

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Solution

The fourth proportional to 3,858.78, 5,325 and 2,265.40 is: 3,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.78 : 5,325 = 2,265.40 : x
  2. Step 2: Convert to fraction form
    3,858.78/5,325 = 2,265.40/x
  3. Step 3: Cross multiply
    3,858.78x = 5,325 × 2,265.40
  4. Step 4: Simplify right side
    3,858.78x = 12,063,241.69
  5. Step 5: Solve for x
    x = 12,063,241.69/3,858.78
  6. Step 6: Final answer
    x = 3,126.18

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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.