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Finding the Fourth Proportional to 3,828.88, 5,282.88 and 2,256.67

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Solution

The fourth proportional to 3,828.88, 5,282.88 and 2,256.67 is: 3,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.88 : 5,282.88 = 2,256.67 : x
  2. Step 2: Convert to fraction form
    3,828.88/5,282.88 = 2,256.67/x
  3. Step 3: Cross multiply
    3,828.88x = 5,282.88 × 2,256.67
  4. Step 4: Simplify right side
    3,828.88x = 11,921,716.81
  5. Step 5: Solve for x
    x = 11,921,716.81/3,828.88
  6. Step 6: Final answer
    x = 3,113.63

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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.