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Finding the Fourth Proportional to 6,853.26, 9,457.27 and 3,869.05

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Solution

The fourth proportional to 6,853.26, 9,457.27 and 3,869.05 is: 5,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.26 : 9,457.27 = 3,869.05 : x
  2. Step 2: Convert to fraction form
    6,853.26/9,457.27 = 3,869.05/x
  3. Step 3: Cross multiply
    6,853.26x = 9,457.27 × 3,869.05
  4. Step 4: Simplify right side
    6,853.26x = 36,590,650.49
  5. Step 5: Solve for x
    x = 36,590,650.49/6,853.26
  6. Step 6: Final answer
    x = 5,339.16

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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.