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Finding the Fourth Proportional to 3,961.96, 5,460.92 and 2,780.98

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Solution

The fourth proportional to 3,961.96, 5,460.92 and 2,780.98 is: 3,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.96 : 5,460.92 = 2,780.98 : x
  2. Step 2: Convert to fraction form
    3,961.96/5,460.92 = 2,780.98/x
  3. Step 3: Cross multiply
    3,961.96x = 5,460.92 × 2,780.98
  4. Step 4: Simplify right side
    3,961.96x = 15,186,709.30
  5. Step 5: Solve for x
    x = 15,186,709.30/3,961.96
  6. Step 6: Final answer
    x = 3,833.13

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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.