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Finding the Fourth Proportional to 2,800.62, 3,863.40 and 2,270.10

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Solution

The fourth proportional to 2,800.62, 3,863.40 and 2,270.10 is: 3,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.62 : 3,863.40 = 2,270.10 : x
  2. Step 2: Convert to fraction form
    2,800.62/3,863.40 = 2,270.10/x
  3. Step 3: Cross multiply
    2,800.62x = 3,863.40 × 2,270.10
  4. Step 4: Simplify right side
    2,800.62x = 8,770,299.45
  5. Step 5: Solve for x
    x = 8,770,299.45/2,800.62
  6. Step 6: Final answer
    x = 3,131.56

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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.