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Finding the Fourth Proportional to 6,401.20, 9,601.80 and 5,963.80

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Solution

The fourth proportional to 6,401.20, 9,601.80 and 5,963.80 is: 8,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.20 : 9,601.80 = 5,963.80 : x
  2. Step 2: Convert to fraction form
    6,401.20/9,601.80 = 5,963.80/x
  3. Step 3: Cross multiply
    6,401.20x = 9,601.80 × 5,963.80
  4. Step 4: Simplify right side
    6,401.20x = 57,263,214.84
  5. Step 5: Solve for x
    x = 57,263,214.84/6,401.20
  6. Step 6: Final answer
    x = 8,945.70

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Similar ratio
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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.