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Finding the Fourth Proportional to 6,807.66, 10,211.85 and 2,190.78

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Solution

The fourth proportional to 6,807.66, 10,211.85 and 2,190.78 is: 3,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.66 : 10,211.85 = 2,190.78 : x
  2. Step 2: Convert to fraction form
    6,807.66/10,211.85 = 2,190.78/x
  3. Step 3: Cross multiply
    6,807.66x = 10,211.85 × 2,190.78
  4. Step 4: Simplify right side
    6,807.66x = 22,371,916.74
  5. Step 5: Solve for x
    x = 22,371,916.74/6,807.66
  6. Step 6: Final answer
    x = 3,286.29

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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.