Home / 3,420.29-5,130.43-823.22

Finding the Fourth Proportional to 3,420.29, 5,130.43 and 823.22

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Solution

The fourth proportional to 3,420.29, 5,130.43 and 823.22 is: 1,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.29 : 5,130.43 = 823.22 : x
  2. Step 2: Convert to fraction form
    3,420.29/5,130.43 = 823.22/x
  3. Step 3: Cross multiply
    3,420.29x = 5,130.43 × 823.22
  4. Step 4: Simplify right side
    3,420.29x = 4,223,487.59
  5. Step 5: Solve for x
    x = 4,223,487.59/3,420.29
  6. Step 6: Final answer
    x = 1,234.83

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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.