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Finding the Fourth Proportional to 2,793.72, 3,851.28 and 2,203.20

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Solution

The fourth proportional to 2,793.72, 3,851.28 and 2,203.20 is: 3,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.72 : 3,851.28 = 2,203.20 : x
  2. Step 2: Convert to fraction form
    2,793.72/3,851.28 = 2,203.20/x
  3. Step 3: Cross multiply
    2,793.72x = 3,851.28 × 2,203.20
  4. Step 4: Simplify right side
    2,793.72x = 8,485,140.10
  5. Step 5: Solve for x
    x = 8,485,140.10/2,793.72
  6. Step 6: Final answer
    x = 3,037.22

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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.