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Finding the Fourth Proportional to 6,807.66, 10,208.13 and 3,997.20

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Solution

The fourth proportional to 6,807.66, 10,208.13 and 3,997.20 is: 5,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.66 : 10,208.13 = 3,997.20 : x
  2. Step 2: Convert to fraction form
    6,807.66/10,208.13 = 3,997.20/x
  3. Step 3: Cross multiply
    6,807.66x = 10,208.13 × 3,997.20
  4. Step 4: Simplify right side
    6,807.66x = 40,803,937.24
  5. Step 5: Solve for x
    x = 40,803,937.24/6,807.66
  6. Step 6: Final answer
    x = 5,993.83

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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.