Home / 6,828-9,422.64-4,035.20

Finding the Fourth Proportional to 6,828, 9,422.64 and 4,035.20

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Solution

The fourth proportional to 6,828, 9,422.64 and 4,035.20 is: 5,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828 : 9,422.64 = 4,035.20 : x
  2. Step 2: Convert to fraction form
    6,828/9,422.64 = 4,035.20/x
  3. Step 3: Cross multiply
    6,828x = 9,422.64 × 4,035.20
  4. Step 4: Simplify right side
    6,828x = 38,022,236.93
  5. Step 5: Solve for x
    x = 38,022,236.93/6,828
  6. Step 6: Final answer
    x = 5,568.58

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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.