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Finding the Fourth Proportional to 3,196.15, 4,793.66 and 856.36

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Solution

The fourth proportional to 3,196.15, 4,793.66 and 856.36 is: 1,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.15 : 4,793.66 = 856.36 : x
  2. Step 2: Convert to fraction form
    3,196.15/4,793.66 = 856.36/x
  3. Step 3: Cross multiply
    3,196.15x = 4,793.66 × 856.36
  4. Step 4: Simplify right side
    3,196.15x = 4,105,098.68
  5. Step 5: Solve for x
    x = 4,105,098.68/3,196.15
  6. Step 6: Final answer
    x = 1,284.39

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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.