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Finding the Fourth Proportional to 6,401.43, 9,608.09 and 3,283.74

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Solution

The fourth proportional to 6,401.43, 9,608.09 and 3,283.74 is: 4,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.43 : 9,608.09 = 3,283.74 : x
  2. Step 2: Convert to fraction form
    6,401.43/9,608.09 = 3,283.74/x
  3. Step 3: Cross multiply
    6,401.43x = 9,608.09 × 3,283.74
  4. Step 4: Simplify right side
    6,401.43x = 31,550,453.04
  5. Step 5: Solve for x
    x = 31,550,453.04/6,401.43
  6. Step 6: Final answer
    x = 4,928.66

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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.