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Finding the Fourth Proportional to 3,180.82, 4,789.90 and 2,774.80

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Solution

The fourth proportional to 3,180.82, 4,789.90 and 2,774.80 is: 4,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.82 : 4,789.90 = 2,774.80 : x
  2. Step 2: Convert to fraction form
    3,180.82/4,789.90 = 2,774.80/x
  3. Step 3: Cross multiply
    3,180.82x = 4,789.90 × 2,774.80
  4. Step 4: Simplify right side
    3,180.82x = 13,291,014.52
  5. Step 5: Solve for x
    x = 13,291,014.52/3,180.82
  6. Step 6: Final answer
    x = 4,178.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.