Home / 3,828.96-5,282.64-2,256.72

Finding the Fourth Proportional to 3,828.96, 5,282.64 and 2,256.72

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Solution

The fourth proportional to 3,828.96, 5,282.64 and 2,256.72 is: 3,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.96 : 5,282.64 = 2,256.72 : x
  2. Step 2: Convert to fraction form
    3,828.96/5,282.64 = 2,256.72/x
  3. Step 3: Cross multiply
    3,828.96x = 5,282.64 × 2,256.72
  4. Step 4: Simplify right side
    3,828.96x = 11,921,439.34
  5. Step 5: Solve for x
    x = 11,921,439.34/3,828.96
  6. Step 6: Final answer
    x = 3,113.49

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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.