Home / 2,772.25-4,156.78-1,311.40

Finding the Fourth Proportional to 2,772.25, 4,156.78 and 1,311.40

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Solution

The fourth proportional to 2,772.25, 4,156.78 and 1,311.40 is: 1,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.25 : 4,156.78 = 1,311.40 : x
  2. Step 2: Convert to fraction form
    2,772.25/4,156.78 = 1,311.40/x
  3. Step 3: Cross multiply
    2,772.25x = 4,156.78 × 1,311.40
  4. Step 4: Simplify right side
    2,772.25x = 5,451,213.36
  5. Step 5: Solve for x
    x = 5,451,213.36/2,772.25
  6. Step 6: Final answer
    x = 1,966.35

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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.