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Finding the Fourth Proportional to 2,663.37, 3,995.06 and 997.85

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Solution

The fourth proportional to 2,663.37, 3,995.06 and 997.85 is: 1,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.37 : 3,995.06 = 997.85 : x
  2. Step 2: Convert to fraction form
    2,663.37/3,995.06 = 997.85/x
  3. Step 3: Cross multiply
    2,663.37x = 3,995.06 × 997.85
  4. Step 4: Simplify right side
    2,663.37x = 3,986,475.62
  5. Step 5: Solve for x
    x = 3,986,475.62/2,663.37
  6. Step 6: Final answer
    x = 1,496.78

Related Problems

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Similar ratio
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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.