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Finding the Fourth Proportional to 5,293.29, 7,939.78 and 1,397.73

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Solution

The fourth proportional to 5,293.29, 7,939.78 and 1,397.73 is: 2,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.29 : 7,939.78 = 1,397.73 : x
  2. Step 2: Convert to fraction form
    5,293.29/7,939.78 = 1,397.73/x
  3. Step 3: Cross multiply
    5,293.29x = 7,939.78 × 1,397.73
  4. Step 4: Simplify right side
    5,293.29x = 11,097,668.70
  5. Step 5: Solve for x
    x = 11,097,668.70/5,293.29
  6. Step 6: Final answer
    x = 2,096.55

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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.