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Finding the Fourth Proportional to 3,940.05, 5,895.47 and 3,157.68

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Solution

The fourth proportional to 3,940.05, 5,895.47 and 3,157.68 is: 4,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.05 : 5,895.47 = 3,157.68 : x
  2. Step 2: Convert to fraction form
    3,940.05/5,895.47 = 3,157.68/x
  3. Step 3: Cross multiply
    3,940.05x = 5,895.47 × 3,157.68
  4. Step 4: Simplify right side
    3,940.05x = 18,616,024.61
  5. Step 5: Solve for x
    x = 18,616,024.61/3,940.05
  6. Step 6: Final answer
    x = 4,724.82

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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.