Home / 2,289.23-3,434.19-828.73

Finding the Fourth Proportional to 2,289.23, 3,434.19 and 828.73

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Solution

The fourth proportional to 2,289.23, 3,434.19 and 828.73 is: 1,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.23 : 3,434.19 = 828.73 : x
  2. Step 2: Convert to fraction form
    2,289.23/3,434.19 = 828.73/x
  3. Step 3: Cross multiply
    2,289.23x = 3,434.19 × 828.73
  4. Step 4: Simplify right side
    2,289.23x = 2,846,009.77
  5. Step 5: Solve for x
    x = 2,846,009.77/2,289.23
  6. Step 6: Final answer
    x = 1,243.22

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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.