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Finding the Fourth Proportional to 5,709.66, 7,879.06 and 3,191.78

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Solution

The fourth proportional to 5,709.66, 7,879.06 and 3,191.78 is: 4,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.66 : 7,879.06 = 3,191.78 : x
  2. Step 2: Convert to fraction form
    5,709.66/7,879.06 = 3,191.78/x
  3. Step 3: Cross multiply
    5,709.66x = 7,879.06 × 3,191.78
  4. Step 4: Simplify right side
    5,709.66x = 25,148,226.13
  5. Step 5: Solve for x
    x = 25,148,226.13/5,709.66
  6. Step 6: Final answer
    x = 4,404.51

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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.