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Finding the Fourth Proportional to 3,967.50, 5,951.25 and 1,231.50

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Solution

The fourth proportional to 3,967.50, 5,951.25 and 1,231.50 is: 1,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.50 : 5,951.25 = 1,231.50 : x
  2. Step 2: Convert to fraction form
    3,967.50/5,951.25 = 1,231.50/x
  3. Step 3: Cross multiply
    3,967.50x = 5,951.25 × 1,231.50
  4. Step 4: Simplify right side
    3,967.50x = 7,328,964.38
  5. Step 5: Solve for x
    x = 7,328,964.38/3,967.50
  6. Step 6: Final answer
    x = 1,847.25

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1.5x scale

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.