Home / 3,020.52-4,529.91-829.32

Finding the Fourth Proportional to 3,020.52, 4,529.91 and 829.32

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Solution

The fourth proportional to 3,020.52, 4,529.91 and 829.32 is: 1,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.52 : 4,529.91 = 829.32 : x
  2. Step 2: Convert to fraction form
    3,020.52/4,529.91 = 829.32/x
  3. Step 3: Cross multiply
    3,020.52x = 4,529.91 × 829.32
  4. Step 4: Simplify right side
    3,020.52x = 3,756,744.96
  5. Step 5: Solve for x
    x = 3,756,744.96/3,020.52
  6. Step 6: Final answer
    x = 1,243.74

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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.