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Finding the Fourth Proportional to 3,661, 5,491.50 and 925

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Solution

The fourth proportional to 3,661, 5,491.50 and 925 is: 1,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661 : 5,491.50 = 925 : x
  2. Step 2: Convert to fraction form
    3,661/5,491.50 = 925/x
  3. Step 3: Cross multiply
    3,661x = 5,491.50 × 925
  4. Step 4: Simplify right side
    3,661x = 5,079,637.50
  5. Step 5: Solve for x
    x = 5,079,637.50/3,661
  6. Step 6: Final answer
    x = 1,387.50

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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.