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Finding the Fourth Proportional to 6,728.72, 10,102.80 and 6,000.80

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Solution

The fourth proportional to 6,728.72, 10,102.80 and 6,000.80 is: 9,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.72 : 10,102.80 = 6,000.80 : x
  2. Step 2: Convert to fraction form
    6,728.72/10,102.80 = 6,000.80/x
  3. Step 3: Cross multiply
    6,728.72x = 10,102.80 × 6,000.80
  4. Step 4: Simplify right side
    6,728.72x = 60,624,882.24
  5. Step 5: Solve for x
    x = 60,624,882.24/6,728.72
  6. Step 6: Final answer
    x = 9,009.87

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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.