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Finding the Fourth Proportional to 2,162.90, 3,244.35 and 775.98

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Solution

The fourth proportional to 2,162.90, 3,244.35 and 775.98 is: 1,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.90 : 3,244.35 = 775.98 : x
  2. Step 2: Convert to fraction form
    2,162.90/3,244.35 = 775.98/x
  3. Step 3: Cross multiply
    2,162.90x = 3,244.35 × 775.98
  4. Step 4: Simplify right side
    2,162.90x = 2,517,553.62
  5. Step 5: Solve for x
    x = 2,517,553.62/2,162.90
  6. Step 6: Final answer
    x = 1,163.97

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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.