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Finding the Fourth Proportional to 3,770.78, 5,203.72 and 2,092.24

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Solution

The fourth proportional to 3,770.78, 5,203.72 and 2,092.24 is: 2,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.78 : 5,203.72 = 2,092.24 : x
  2. Step 2: Convert to fraction form
    3,770.78/5,203.72 = 2,092.24/x
  3. Step 3: Cross multiply
    3,770.78x = 5,203.72 × 2,092.24
  4. Step 4: Simplify right side
    3,770.78x = 10,887,431.13
  5. Step 5: Solve for x
    x = 10,887,431.13/3,770.78
  6. Step 6: Final answer
    x = 2,887.32

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1.5x scale

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.