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Finding the Fourth Proportional to 3,196.78, 4,794.68 and 856.94

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Solution

The fourth proportional to 3,196.78, 4,794.68 and 856.94 is: 1,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.78 : 4,794.68 = 856.94 : x
  2. Step 2: Convert to fraction form
    3,196.78/4,794.68 = 856.94/x
  3. Step 3: Cross multiply
    3,196.78x = 4,794.68 × 856.94
  4. Step 4: Simplify right side
    3,196.78x = 4,108,753.08
  5. Step 5: Solve for x
    x = 4,108,753.08/3,196.78
  6. Step 6: Final answer
    x = 1,285.28

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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.