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Finding the Fourth Proportional to 2,517.70, 3,777.08 and 762.83

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Solution

The fourth proportional to 2,517.70, 3,777.08 and 762.83 is: 1,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.70 : 3,777.08 = 762.83 : x
  2. Step 2: Convert to fraction form
    2,517.70/3,777.08 = 762.83/x
  3. Step 3: Cross multiply
    2,517.70x = 3,777.08 × 762.83
  4. Step 4: Simplify right side
    2,517.70x = 2,881,269.94
  5. Step 5: Solve for x
    x = 2,881,269.94/2,517.70
  6. Step 6: Final answer
    x = 1,144.41

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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.