Home / 7,825.28-11,738.56-3,208.32

Finding the Fourth Proportional to 7,825.28, 11,738.56 and 3,208.32

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Solution

The fourth proportional to 7,825.28, 11,738.56 and 3,208.32 is: 4,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.28 : 11,738.56 = 3,208.32 : x
  2. Step 2: Convert to fraction form
    7,825.28/11,738.56 = 3,208.32/x
  3. Step 3: Cross multiply
    7,825.28x = 11,738.56 × 3,208.32
  4. Step 4: Simplify right side
    7,825.28x = 37,661,056.82
  5. Step 5: Solve for x
    x = 37,661,056.82/7,825.28
  6. Step 6: Final answer
    x = 4,812.74

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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.