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Finding the Fourth Proportional to 3,940.79, 5,911.14 and 1,167.45

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Solution

The fourth proportional to 3,940.79, 5,911.14 and 1,167.45 is: 1,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.79 : 5,911.14 = 1,167.45 : x
  2. Step 2: Convert to fraction form
    3,940.79/5,911.14 = 1,167.45/x
  3. Step 3: Cross multiply
    3,940.79x = 5,911.14 × 1,167.45
  4. Step 4: Simplify right side
    3,940.79x = 6,900,942.60
  5. Step 5: Solve for x
    x = 6,900,942.60/3,940.79
  6. Step 6: Final answer
    x = 1,751.16

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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.