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Finding the Fourth Proportional to 2,879.28, 3,973.32 and 2,096.64

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Solution

The fourth proportional to 2,879.28, 3,973.32 and 2,096.64 is: 2,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.28 : 3,973.32 = 2,096.64 : x
  2. Step 2: Convert to fraction form
    2,879.28/3,973.32 = 2,096.64/x
  3. Step 3: Cross multiply
    2,879.28x = 3,973.32 × 2,096.64
  4. Step 4: Simplify right side
    2,879.28x = 8,330,621.64
  5. Step 5: Solve for x
    x = 8,330,621.64/2,879.28
  6. Step 6: Final answer
    x = 2,893.30

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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.