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Finding the Fourth Proportional to 6,853.20, 9,457.38 and 3,869.10

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Solution

The fourth proportional to 6,853.20, 9,457.38 and 3,869.10 is: 5,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.20 : 9,457.38 = 3,869.10 : x
  2. Step 2: Convert to fraction form
    6,853.20/9,457.38 = 3,869.10/x
  3. Step 3: Cross multiply
    6,853.20x = 9,457.38 × 3,869.10
  4. Step 4: Simplify right side
    6,853.20x = 36,591,548.96
  5. Step 5: Solve for x
    x = 36,591,548.96/6,853.20
  6. Step 6: Final answer
    x = 5,339.34

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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.