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Finding the Fourth Proportional to 3,165.20, 4,747.79 and 856.70

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Solution

The fourth proportional to 3,165.20, 4,747.79 and 856.70 is: 1,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.20 : 4,747.79 = 856.70 : x
  2. Step 2: Convert to fraction form
    3,165.20/4,747.79 = 856.70/x
  3. Step 3: Cross multiply
    3,165.20x = 4,747.79 × 856.70
  4. Step 4: Simplify right side
    3,165.20x = 4,067,403.67
  5. Step 5: Solve for x
    x = 4,067,403.67/3,165.20
  6. Step 6: Final answer
    x = 1,285.04

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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.