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Finding the Fourth Proportional to 2,896.96, 4,338.12 and 2,080.48

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Solution

The fourth proportional to 2,896.96, 4,338.12 and 2,080.48 is: 3,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.96 : 4,338.12 = 2,080.48 : x
  2. Step 2: Convert to fraction form
    2,896.96/4,338.12 = 2,080.48/x
  3. Step 3: Cross multiply
    2,896.96x = 4,338.12 × 2,080.48
  4. Step 4: Simplify right side
    2,896.96x = 9,025,371.90
  5. Step 5: Solve for x
    x = 9,025,371.90/2,896.96
  6. Step 6: Final answer
    x = 3,115.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.