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Finding the Fourth Proportional to 3,425.52, 5,138.27 and 828.45

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Solution

The fourth proportional to 3,425.52, 5,138.27 and 828.45 is: 1,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.52 : 5,138.27 = 828.45 : x
  2. Step 2: Convert to fraction form
    3,425.52/5,138.27 = 828.45/x
  3. Step 3: Cross multiply
    3,425.52x = 5,138.27 × 828.45
  4. Step 4: Simplify right side
    3,425.52x = 4,256,799.78
  5. Step 5: Solve for x
    x = 4,256,799.78/3,425.52
  6. Step 6: Final answer
    x = 1,242.67

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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.