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Finding the Fourth Proportional to 2,759.96, 4,140.84 and 812.18

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Solution

The fourth proportional to 2,759.96, 4,140.84 and 812.18 is: 1,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.96 : 4,140.84 = 812.18 : x
  2. Step 2: Convert to fraction form
    2,759.96/4,140.84 = 812.18/x
  3. Step 3: Cross multiply
    2,759.96x = 4,140.84 × 812.18
  4. Step 4: Simplify right side
    2,759.96x = 3,363,107.43
  5. Step 5: Solve for x
    x = 3,363,107.43/2,759.96
  6. Step 6: Final answer
    x = 1,218.53

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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.