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Finding the Fourth Proportional to 2,773.44, 4,159.28 and 825.76

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Solution

The fourth proportional to 2,773.44, 4,159.28 and 825.76 is: 1,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.44 : 4,159.28 = 825.76 : x
  2. Step 2: Convert to fraction form
    2,773.44/4,159.28 = 825.76/x
  3. Step 3: Cross multiply
    2,773.44x = 4,159.28 × 825.76
  4. Step 4: Simplify right side
    2,773.44x = 3,434,567.05
  5. Step 5: Solve for x
    x = 3,434,567.05/2,773.44
  6. Step 6: Final answer
    x = 1,238.38

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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.