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Finding the Fourth Proportional to 6,822.70, 9,415.58 and 3,798.09

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Solution

The fourth proportional to 6,822.70, 9,415.58 and 3,798.09 is: 5,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.70 : 9,415.58 = 3,798.09 : x
  2. Step 2: Convert to fraction form
    6,822.70/9,415.58 = 3,798.09/x
  3. Step 3: Cross multiply
    6,822.70x = 9,415.58 × 3,798.09
  4. Step 4: Simplify right side
    6,822.70x = 35,761,201.25
  5. Step 5: Solve for x
    x = 35,761,201.25/6,822.70
  6. Step 6: Final answer
    x = 5,241.50

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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.