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Finding the Fourth Proportional to 3,918, 5,367.72 and 3,770.40

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Solution

The fourth proportional to 3,918, 5,367.72 and 3,770.40 is: 5,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918 : 5,367.72 = 3,770.40 : x
  2. Step 2: Convert to fraction form
    3,918/5,367.72 = 3,770.40/x
  3. Step 3: Cross multiply
    3,918x = 5,367.72 × 3,770.40
  4. Step 4: Simplify right side
    3,918x = 20,238,451.49
  5. Step 5: Solve for x
    x = 20,238,451.49/3,918
  6. Step 6: Final answer
    x = 5,165.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.