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Finding the Fourth Proportional to 2,772.54, 3,822.70 and 1,722.78

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Solution

The fourth proportional to 2,772.54, 3,822.70 and 1,722.78 is: 2,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.54 : 3,822.70 = 1,722.78 : x
  2. Step 2: Convert to fraction form
    2,772.54/3,822.70 = 1,722.78/x
  3. Step 3: Cross multiply
    2,772.54x = 3,822.70 × 1,722.78
  4. Step 4: Simplify right side
    2,772.54x = 6,585,671.11
  5. Step 5: Solve for x
    x = 6,585,671.11/2,772.54
  6. Step 6: Final answer
    x = 2,375.32

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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.