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Finding the Fourth Proportional to 6,855.66, 9,460.27 and 3,871.79

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Solution

The fourth proportional to 6,855.66, 9,460.27 and 3,871.79 is: 5,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.66 : 9,460.27 = 3,871.79 : x
  2. Step 2: Convert to fraction form
    6,855.66/9,460.27 = 3,871.79/x
  3. Step 3: Cross multiply
    6,855.66x = 9,460.27 × 3,871.79
  4. Step 4: Simplify right side
    6,855.66x = 36,628,112.12
  5. Step 5: Solve for x
    x = 36,628,112.12/6,855.66
  6. Step 6: Final answer
    x = 5,342.76

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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.