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Finding the Fourth Proportional to 2,722.48, 4,084.26 and 774.76

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Solution

The fourth proportional to 2,722.48, 4,084.26 and 774.76 is: 1,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.48 : 4,084.26 = 774.76 : x
  2. Step 2: Convert to fraction form
    2,722.48/4,084.26 = 774.76/x
  3. Step 3: Cross multiply
    2,722.48x = 4,084.26 × 774.76
  4. Step 4: Simplify right side
    2,722.48x = 3,164,321.28
  5. Step 5: Solve for x
    x = 3,164,321.28/2,722.48
  6. Step 6: Final answer
    x = 1,162.29

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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.