Home / 6,826-9,419.28-3,842.08

Finding the Fourth Proportional to 6,826, 9,419.28 and 3,842.08

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Solution

The fourth proportional to 6,826, 9,419.28 and 3,842.08 is: 5,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826 : 9,419.28 = 3,842.08 : x
  2. Step 2: Convert to fraction form
    6,826/9,419.28 = 3,842.08/x
  3. Step 3: Cross multiply
    6,826x = 9,419.28 × 3,842.08
  4. Step 4: Simplify right side
    6,826x = 36,189,627.30
  5. Step 5: Solve for x
    x = 36,189,627.30/6,826
  6. Step 6: Final answer
    x = 5,301.73

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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.