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Finding the Fourth Proportional to 6,855.94, 9,461.46 and 3,872.10

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Solution

The fourth proportional to 6,855.94, 9,461.46 and 3,872.10 is: 5,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.94 : 9,461.46 = 3,872.10 : x
  2. Step 2: Convert to fraction form
    6,855.94/9,461.46 = 3,872.10/x
  3. Step 3: Cross multiply
    6,855.94x = 9,461.46 × 3,872.10
  4. Step 4: Simplify right side
    6,855.94x = 36,635,747.49
  5. Step 5: Solve for x
    x = 36,635,747.49/6,855.94
  6. Step 6: Final answer
    x = 5,343.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.