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Finding the Fourth Proportional to 6,820.36, 9,412.36 and 3,836.16

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Solution

The fourth proportional to 6,820.36, 9,412.36 and 3,836.16 is: 5,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.36 : 9,412.36 = 3,836.16 : x
  2. Step 2: Convert to fraction form
    6,820.36/9,412.36 = 3,836.16/x
  3. Step 3: Cross multiply
    6,820.36x = 9,412.36 × 3,836.16
  4. Step 4: Simplify right side
    6,820.36x = 36,107,318.94
  5. Step 5: Solve for x
    x = 36,107,318.94/6,820.36
  6. Step 6: Final answer
    x = 5,294.05

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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.