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Finding the Fourth Proportional to 2,873.46, 3,965.32 and 1,694.91

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Solution

The fourth proportional to 2,873.46, 3,965.32 and 1,694.91 is: 2,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.46 : 3,965.32 = 1,694.91 : x
  2. Step 2: Convert to fraction form
    2,873.46/3,965.32 = 1,694.91/x
  3. Step 3: Cross multiply
    2,873.46x = 3,965.32 × 1,694.91
  4. Step 4: Simplify right side
    2,873.46x = 6,720,860.52
  5. Step 5: Solve for x
    x = 6,720,860.52/2,873.46
  6. Step 6: Final answer
    x = 2,338.94

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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.