Home / 2,806.32-3,872.64-1,627.28

Finding the Fourth Proportional to 2,806.32, 3,872.64 and 1,627.28

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Solution

The fourth proportional to 2,806.32, 3,872.64 and 1,627.28 is: 2,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.32 : 3,872.64 = 1,627.28 : x
  2. Step 2: Convert to fraction form
    2,806.32/3,872.64 = 1,627.28/x
  3. Step 3: Cross multiply
    2,806.32x = 3,872.64 × 1,627.28
  4. Step 4: Simplify right side
    2,806.32x = 6,301,869.62
  5. Step 5: Solve for x
    x = 6,301,869.62/2,806.32
  6. Step 6: Final answer
    x = 2,245.60

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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.