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Finding the Fourth Proportional to 6,853.62, 9,457.96 and 3,869.44

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Solution

The fourth proportional to 6,853.62, 9,457.96 and 3,869.44 is: 5,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.62 : 9,457.96 = 3,869.44 : x
  2. Step 2: Convert to fraction form
    6,853.62/9,457.96 = 3,869.44/x
  3. Step 3: Cross multiply
    6,853.62x = 9,457.96 × 3,869.44
  4. Step 4: Simplify right side
    6,853.62x = 36,597,008.74
  5. Step 5: Solve for x
    x = 36,597,008.74/6,853.62
  6. Step 6: Final answer
    x = 5,339.81

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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.