Home / 3,421.32-5,131.97-824.25

Finding the Fourth Proportional to 3,421.32, 5,131.97 and 824.25

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Solution

The fourth proportional to 3,421.32, 5,131.97 and 824.25 is: 1,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.32 : 5,131.97 = 824.25 : x
  2. Step 2: Convert to fraction form
    3,421.32/5,131.97 = 824.25/x
  3. Step 3: Cross multiply
    3,421.32x = 5,131.97 × 824.25
  4. Step 4: Simplify right side
    3,421.32x = 4,230,026.27
  5. Step 5: Solve for x
    x = 4,230,026.27/3,421.32
  6. Step 6: Final answer
    x = 1,236.37

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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.