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Finding the Fourth Proportional to 2,856.84, 3,940.02 and 2,195.32

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Solution

The fourth proportional to 2,856.84, 3,940.02 and 2,195.32 is: 3,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.84 : 3,940.02 = 2,195.32 : x
  2. Step 2: Convert to fraction form
    2,856.84/3,940.02 = 2,195.32/x
  3. Step 3: Cross multiply
    2,856.84x = 3,940.02 × 2,195.32
  4. Step 4: Simplify right side
    2,856.84x = 8,649,604.71
  5. Step 5: Solve for x
    x = 8,649,604.71/2,856.84
  6. Step 6: Final answer
    x = 3,027.68

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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.