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Finding the Fourth Proportional to 6,853.88, 9,457.83 and 3,869.98

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Solution

The fourth proportional to 6,853.88, 9,457.83 and 3,869.98 is: 5,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.88 : 9,457.83 = 3,869.98 : x
  2. Step 2: Convert to fraction form
    6,853.88/9,457.83 = 3,869.98/x
  3. Step 3: Cross multiply
    6,853.88x = 9,457.83 × 3,869.98
  4. Step 4: Simplify right side
    6,853.88x = 36,601,589.30
  5. Step 5: Solve for x
    x = 36,601,589.30/6,853.88
  6. Step 6: Final answer
    x = 5,340.27

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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.