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Finding the Fourth Proportional to 3,930.03, 5,896.05 and 1,156.79

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Solution

The fourth proportional to 3,930.03, 5,896.05 and 1,156.79 is: 1,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.03 : 5,896.05 = 1,156.79 : x
  2. Step 2: Convert to fraction form
    3,930.03/5,896.05 = 1,156.79/x
  3. Step 3: Cross multiply
    3,930.03x = 5,896.05 × 1,156.79
  4. Step 4: Simplify right side
    3,930.03x = 6,820,462.20
  5. Step 5: Solve for x
    x = 6,820,462.20/3,930.03
  6. Step 6: Final answer
    x = 1,735.47

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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.