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Finding the Fourth Proportional to 6,401.80, 9,604.86 and 3,072.70

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Solution

The fourth proportional to 6,401.80, 9,604.86 and 3,072.70 is: 4,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.80 : 9,604.86 = 3,072.70 : x
  2. Step 2: Convert to fraction form
    6,401.80/9,604.86 = 3,072.70/x
  3. Step 3: Cross multiply
    6,401.80x = 9,604.86 × 3,072.70
  4. Step 4: Simplify right side
    6,401.80x = 29,512,853.32
  5. Step 5: Solve for x
    x = 29,512,853.32/6,401.80
  6. Step 6: Final answer
    x = 4,610.09

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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.