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Finding the Fourth Proportional to 6,441.80, 9,648.03 and 3,839.36

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Solution

The fourth proportional to 6,441.80, 9,648.03 and 3,839.36 is: 5,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.80 : 9,648.03 = 3,839.36 : x
  2. Step 2: Convert to fraction form
    6,441.80/9,648.03 = 3,839.36/x
  3. Step 3: Cross multiply
    6,441.80x = 9,648.03 × 3,839.36
  4. Step 4: Simplify right side
    6,441.80x = 37,042,260.46
  5. Step 5: Solve for x
    x = 37,042,260.46/6,441.80
  6. Step 6: Final answer
    x = 5,750.30

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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.