Home / 2,856.96-3,962.80-2,781.14

Finding the Fourth Proportional to 2,856.96, 3,962.80 and 2,781.14

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Solution

The fourth proportional to 2,856.96, 3,962.80 and 2,781.14 is: 3,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.96 : 3,962.80 = 2,781.14 : x
  2. Step 2: Convert to fraction form
    2,856.96/3,962.80 = 2,781.14/x
  3. Step 3: Cross multiply
    2,856.96x = 3,962.80 × 2,781.14
  4. Step 4: Simplify right side
    2,856.96x = 11,021,085.25
  5. Step 5: Solve for x
    x = 11,021,085.25/2,856.96
  6. Step 6: Final answer
    x = 3,857.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.