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Finding the Fourth Proportional to 2,773.35, 4,160.63 and 825.50

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Solution

The fourth proportional to 2,773.35, 4,160.63 and 825.50 is: 1,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.35 : 4,160.63 = 825.50 : x
  2. Step 2: Convert to fraction form
    2,773.35/4,160.63 = 825.50/x
  3. Step 3: Cross multiply
    2,773.35x = 4,160.63 × 825.50
  4. Step 4: Simplify right side
    2,773.35x = 3,434,612.53
  5. Step 5: Solve for x
    x = 3,434,612.53/2,773.35
  6. Step 6: Final answer
    x = 1,238.43

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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.