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Finding the Fourth Proportional to 2,675.78, 3,690.62 and 1,932.20

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Solution

The fourth proportional to 2,675.78, 3,690.62 and 1,932.20 is: 2,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.78 : 3,690.62 = 1,932.20 : x
  2. Step 2: Convert to fraction form
    2,675.78/3,690.62 = 1,932.20/x
  3. Step 3: Cross multiply
    2,675.78x = 3,690.62 × 1,932.20
  4. Step 4: Simplify right side
    2,675.78x = 7,131,015.96
  5. Step 5: Solve for x
    x = 7,131,015.96/2,675.78
  6. Step 6: Final answer
    x = 2,665.02

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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.