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Finding the Fourth Proportional to 2,743.83, 3,785.13 and 1,680.71

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Solution

The fourth proportional to 2,743.83, 3,785.13 and 1,680.71 is: 2,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.83 : 3,785.13 = 1,680.71 : x
  2. Step 2: Convert to fraction form
    2,743.83/3,785.13 = 1,680.71/x
  3. Step 3: Cross multiply
    2,743.83x = 3,785.13 × 1,680.71
  4. Step 4: Simplify right side
    2,743.83x = 6,361,686.92
  5. Step 5: Solve for x
    x = 6,361,686.92/2,743.83
  6. Step 6: Final answer
    x = 2,318.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.