Home / 3,921-5,410.48-2,152.14

Finding the Fourth Proportional to 3,921, 5,410.48 and 2,152.14

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Solution

The fourth proportional to 3,921, 5,410.48 and 2,152.14 is: 2,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921 : 5,410.48 = 2,152.14 : x
  2. Step 2: Convert to fraction form
    3,921/5,410.48 = 2,152.14/x
  3. Step 3: Cross multiply
    3,921x = 5,410.48 × 2,152.14
  4. Step 4: Simplify right side
    3,921x = 11,644,110.43
  5. Step 5: Solve for x
    x = 11,644,110.43/3,921
  6. Step 6: Final answer
    x = 2,969.68

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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.