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Finding the Fourth Proportional to 1,693.34, 2,337.08 and 994.71

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Solution

The fourth proportional to 1,693.34, 2,337.08 and 994.71 is: 1,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.34 : 2,337.08 = 994.71 : x
  2. Step 2: Convert to fraction form
    1,693.34/2,337.08 = 994.71/x
  3. Step 3: Cross multiply
    1,693.34x = 2,337.08 × 994.71
  4. Step 4: Simplify right side
    1,693.34x = 2,324,716.85
  5. Step 5: Solve for x
    x = 2,324,716.85/1,693.34
  6. Step 6: Final answer
    x = 1,372.86

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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.