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Finding the Fourth Proportional to 4,256.56, 6,375.12 and 3,828.88

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Solution

The fourth proportional to 4,256.56, 6,375.12 and 3,828.88 is: 5,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.56 : 6,375.12 = 3,828.88 : x
  2. Step 2: Convert to fraction form
    4,256.56/6,375.12 = 3,828.88/x
  3. Step 3: Cross multiply
    4,256.56x = 6,375.12 × 3,828.88
  4. Step 4: Simplify right side
    4,256.56x = 24,409,569.47
  5. Step 5: Solve for x
    x = 24,409,569.47/4,256.56
  6. Step 6: Final answer
    x = 5,734.58

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1.5x scale

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.