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Finding the Fourth Proportional to 3,930.14, 5,895.41 and 1,008.47

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Solution

The fourth proportional to 3,930.14, 5,895.41 and 1,008.47 is: 1,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.14 : 5,895.41 = 1,008.47 : x
  2. Step 2: Convert to fraction form
    3,930.14/5,895.41 = 1,008.47/x
  3. Step 3: Cross multiply
    3,930.14x = 5,895.41 × 1,008.47
  4. Step 4: Simplify right side
    3,930.14x = 5,945,309.60
  5. Step 5: Solve for x
    x = 5,945,309.60/3,930.14
  6. Step 6: Final answer
    x = 1,512.75

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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.