Home / 5,138.16-7,697.24-4,202.34

Finding the Fourth Proportional to 5,138.16, 7,697.24 and 4,202.34

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Solution

The fourth proportional to 5,138.16, 7,697.24 and 4,202.34 is: 6,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.16 : 7,697.24 = 4,202.34 : x
  2. Step 2: Convert to fraction form
    5,138.16/7,697.24 = 4,202.34/x
  3. Step 3: Cross multiply
    5,138.16x = 7,697.24 × 4,202.34
  4. Step 4: Simplify right side
    5,138.16x = 32,346,419.54
  5. Step 5: Solve for x
    x = 32,346,419.54/5,138.16
  6. Step 6: Final answer
    x = 6,295.33

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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.