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Finding the Fourth Proportional to 3,196.97, 4,410.77 and 1,869.74

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Solution

The fourth proportional to 3,196.97, 4,410.77 and 1,869.74 is: 2,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.97 : 4,410.77 = 1,869.74 : x
  2. Step 2: Convert to fraction form
    3,196.97/4,410.77 = 1,869.74/x
  3. Step 3: Cross multiply
    3,196.97x = 4,410.77 × 1,869.74
  4. Step 4: Simplify right side
    3,196.97x = 8,246,972.72
  5. Step 5: Solve for x
    x = 8,246,972.72/3,196.97
  6. Step 6: Final answer
    x = 2,579.62

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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.