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Finding the Fourth Proportional to 6,843.78, 10,274.16 and 6,812.18

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Solution

The fourth proportional to 6,843.78, 10,274.16 and 6,812.18 is: 10,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.78 : 10,274.16 = 6,812.18 : x
  2. Step 2: Convert to fraction form
    6,843.78/10,274.16 = 6,812.18/x
  3. Step 3: Cross multiply
    6,843.78x = 10,274.16 × 6,812.18
  4. Step 4: Simplify right side
    6,843.78x = 69,989,427.27
  5. Step 5: Solve for x
    x = 69,989,427.27/6,843.78
  6. Step 6: Final answer
    x = 10,226.72

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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.