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Finding the Fourth Proportional to 2,663.66, 3,994.67 and 931.88

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Solution

The fourth proportional to 2,663.66, 3,994.67 and 931.88 is: 1,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.66 : 3,994.67 = 931.88 : x
  2. Step 2: Convert to fraction form
    2,663.66/3,994.67 = 931.88/x
  3. Step 3: Cross multiply
    2,663.66x = 3,994.67 × 931.88
  4. Step 4: Simplify right side
    2,663.66x = 3,722,535.44
  5. Step 5: Solve for x
    x = 3,722,535.44/2,663.66
  6. Step 6: Final answer
    x = 1,397.53

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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.