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Finding the Fourth Proportional to 3,953, 5,930.28 and 1,760.60

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Solution

The fourth proportional to 3,953, 5,930.28 and 1,760.60 is: 2,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953 : 5,930.28 = 1,760.60 : x
  2. Step 2: Convert to fraction form
    3,953/5,930.28 = 1,760.60/x
  3. Step 3: Cross multiply
    3,953x = 5,930.28 × 1,760.60
  4. Step 4: Simplify right side
    3,953x = 10,440,850.97
  5. Step 5: Solve for x
    x = 10,440,850.97/3,953
  6. Step 6: Final answer
    x = 2,641.25

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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.