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Finding the Fourth Proportional to 3,183.17, 4,774.48 and 991.69

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Solution

The fourth proportional to 3,183.17, 4,774.48 and 991.69 is: 1,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.17 : 4,774.48 = 991.69 : x
  2. Step 2: Convert to fraction form
    3,183.17/4,774.48 = 991.69/x
  3. Step 3: Cross multiply
    3,183.17x = 4,774.48 × 991.69
  4. Step 4: Simplify right side
    3,183.17x = 4,734,789.66
  5. Step 5: Solve for x
    x = 4,734,789.66/3,183.17
  6. Step 6: Final answer
    x = 1,487.45

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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.