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Finding the Fourth Proportional to 3,876.42, 5,354.94 and 3,003.48

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Solution

The fourth proportional to 3,876.42, 5,354.94 and 3,003.48 is: 4,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.42 : 5,354.94 = 3,003.48 : x
  2. Step 2: Convert to fraction form
    3,876.42/5,354.94 = 3,003.48/x
  3. Step 3: Cross multiply
    3,876.42x = 5,354.94 × 3,003.48
  4. Step 4: Simplify right side
    3,876.42x = 16,083,455.19
  5. Step 5: Solve for x
    x = 16,083,455.19/3,876.42
  6. Step 6: Final answer
    x = 4,149.05

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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.