Home / 2,311.26-3,465.46-829.63

Finding the Fourth Proportional to 2,311.26, 3,465.46 and 829.63

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Solution

The fourth proportional to 2,311.26, 3,465.46 and 829.63 is: 1,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.26 : 3,465.46 = 829.63 : x
  2. Step 2: Convert to fraction form
    2,311.26/3,465.46 = 829.63/x
  3. Step 3: Cross multiply
    2,311.26x = 3,465.46 × 829.63
  4. Step 4: Simplify right side
    2,311.26x = 2,875,049.58
  5. Step 5: Solve for x
    x = 2,875,049.58/2,311.26
  6. Step 6: Final answer
    x = 1,243.93

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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.