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Finding the Fourth Proportional to 3,895.92, 5,866.38 and 3,209.04

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Solution

The fourth proportional to 3,895.92, 5,866.38 and 3,209.04 is: 4,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.92 : 5,866.38 = 3,209.04 : x
  2. Step 2: Convert to fraction form
    3,895.92/5,866.38 = 3,209.04/x
  3. Step 3: Cross multiply
    3,895.92x = 5,866.38 × 3,209.04
  4. Step 4: Simplify right side
    3,895.92x = 18,825,448.08
  5. Step 5: Solve for x
    x = 18,825,448.08/3,895.92
  6. Step 6: Final answer
    x = 4,832.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.