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Finding the Fourth Proportional to 7,839.72, 11,762.28 and 3,940.92

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Solution

The fourth proportional to 7,839.72, 11,762.28 and 3,940.92 is: 5,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.72 : 11,762.28 = 3,940.92 : x
  2. Step 2: Convert to fraction form
    7,839.72/11,762.28 = 3,940.92/x
  3. Step 3: Cross multiply
    7,839.72x = 11,762.28 × 3,940.92
  4. Step 4: Simplify right side
    7,839.72x = 46,354,204.50
  5. Step 5: Solve for x
    x = 46,354,204.50/7,839.72
  6. Step 6: Final answer
    x = 5,912.74

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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.