Home / 3,421.09-5,131.63-824.03

Finding the Fourth Proportional to 3,421.09, 5,131.63 and 824.03

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Solution

The fourth proportional to 3,421.09, 5,131.63 and 824.03 is: 1,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.09 : 5,131.63 = 824.03 : x
  2. Step 2: Convert to fraction form
    3,421.09/5,131.63 = 824.03/x
  3. Step 3: Cross multiply
    3,421.09x = 5,131.63 × 824.03
  4. Step 4: Simplify right side
    3,421.09x = 4,228,617.07
  5. Step 5: Solve for x
    x = 4,228,617.07/3,421.09
  6. Step 6: Final answer
    x = 1,236.04

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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.