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Finding the Fourth Proportional to 3,930.86, 5,895.15 and 1,157.01

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Solution

The fourth proportional to 3,930.86, 5,895.15 and 1,157.01 is: 1,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.86 : 5,895.15 = 1,157.01 : x
  2. Step 2: Convert to fraction form
    3,930.86/5,895.15 = 1,157.01/x
  3. Step 3: Cross multiply
    3,930.86x = 5,895.15 × 1,157.01
  4. Step 4: Simplify right side
    3,930.86x = 6,820,747.50
  5. Step 5: Solve for x
    x = 6,820,747.50/3,930.86
  6. Step 6: Final answer
    x = 1,735.18

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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.