Home / 7,825.20-11,734.84-2,558.96

Finding the Fourth Proportional to 7,825.20, 11,734.84 and 2,558.96

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Solution

The fourth proportional to 7,825.20, 11,734.84 and 2,558.96 is: 3,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.20 : 11,734.84 = 2,558.96 : x
  2. Step 2: Convert to fraction form
    7,825.20/11,734.84 = 2,558.96/x
  3. Step 3: Cross multiply
    7,825.20x = 11,734.84 × 2,558.96
  4. Step 4: Simplify right side
    7,825.20x = 30,028,986.17
  5. Step 5: Solve for x
    x = 30,028,986.17/7,825.20
  6. Step 6: Final answer
    x = 3,837.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.