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Finding the Fourth Proportional to 2,663.28, 3,993.84 and 931.50

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Solution

The fourth proportional to 2,663.28, 3,993.84 and 931.50 is: 1,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.28 : 3,993.84 = 931.50 : x
  2. Step 2: Convert to fraction form
    2,663.28/3,993.84 = 931.50/x
  3. Step 3: Cross multiply
    2,663.28x = 3,993.84 × 931.50
  4. Step 4: Simplify right side
    2,663.28x = 3,720,261.96
  5. Step 5: Solve for x
    x = 3,720,261.96/2,663.28
  6. Step 6: Final answer
    x = 1,396.87

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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.