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Finding the Fourth Proportional to 2,723.12, 4,083.46 and 774.87

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Solution

The fourth proportional to 2,723.12, 4,083.46 and 774.87 is: 1,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.12 : 4,083.46 = 774.87 : x
  2. Step 2: Convert to fraction form
    2,723.12/4,083.46 = 774.87/x
  3. Step 3: Cross multiply
    2,723.12x = 4,083.46 × 774.87
  4. Step 4: Simplify right side
    2,723.12x = 3,164,137.76
  5. Step 5: Solve for x
    x = 3,164,137.76/2,723.12
  6. Step 6: Final answer
    x = 1,161.95

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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.