Home / 3,021.24-4,531.74-829.92

Finding the Fourth Proportional to 3,021.24, 4,531.74 and 829.92

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Solution

The fourth proportional to 3,021.24, 4,531.74 and 829.92 is: 1,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.24 : 4,531.74 = 829.92 : x
  2. Step 2: Convert to fraction form
    3,021.24/4,531.74 = 829.92/x
  3. Step 3: Cross multiply
    3,021.24x = 4,531.74 × 829.92
  4. Step 4: Simplify right side
    3,021.24x = 3,760,981.66
  5. Step 5: Solve for x
    x = 3,760,981.66/3,021.24
  6. Step 6: Final answer
    x = 1,244.85

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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.