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Finding the Fourth Proportional to 6,855.14, 9,460.52 and 3,869.88

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Solution

The fourth proportional to 6,855.14, 9,460.52 and 3,869.88 is: 5,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.14 : 9,460.52 = 3,869.88 : x
  2. Step 2: Convert to fraction form
    6,855.14/9,460.52 = 3,869.88/x
  3. Step 3: Cross multiply
    6,855.14x = 9,460.52 × 3,869.88
  4. Step 4: Simplify right side
    6,855.14x = 36,611,077.14
  5. Step 5: Solve for x
    x = 36,611,077.14/6,855.14
  6. Step 6: Final answer
    x = 5,340.68

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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.