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Finding the Fourth Proportional to 3,774.75, 5,662.91 and 1,142.40

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Solution

The fourth proportional to 3,774.75, 5,662.91 and 1,142.40 is: 1,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.75 : 5,662.91 = 1,142.40 : x
  2. Step 2: Convert to fraction form
    3,774.75/5,662.91 = 1,142.40/x
  3. Step 3: Cross multiply
    3,774.75x = 5,662.91 × 1,142.40
  4. Step 4: Simplify right side
    3,774.75x = 6,469,332.48
  5. Step 5: Solve for x
    x = 6,469,332.48/3,774.75
  6. Step 6: Final answer
    x = 1,713.84

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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.