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Finding the Fourth Proportional to 6,818.64, 9,409.26 and 3,834.54

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Solution

The fourth proportional to 6,818.64, 9,409.26 and 3,834.54 is: 5,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.64 : 9,409.26 = 3,834.54 : x
  2. Step 2: Convert to fraction form
    6,818.64/9,409.26 = 3,834.54/x
  3. Step 3: Cross multiply
    6,818.64x = 9,409.26 × 3,834.54
  4. Step 4: Simplify right side
    6,818.64x = 36,080,183.84
  5. Step 5: Solve for x
    x = 36,080,183.84/6,818.64
  6. Step 6: Final answer
    x = 5,291.40

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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.