Home / 3,828.50-5,284.66-2,256.50

Finding the Fourth Proportional to 3,828.50, 5,284.66 and 2,256.50

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Solution

The fourth proportional to 3,828.50, 5,284.66 and 2,256.50 is: 3,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.50 : 5,284.66 = 2,256.50 : x
  2. Step 2: Convert to fraction form
    3,828.50/5,284.66 = 2,256.50/x
  3. Step 3: Cross multiply
    3,828.50x = 5,284.66 × 2,256.50
  4. Step 4: Simplify right side
    3,828.50x = 11,924,835.29
  5. Step 5: Solve for x
    x = 11,924,835.29/3,828.50
  6. Step 6: Final answer
    x = 3,114.75

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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.