Home / 20,828.24-31,235.82-6,974

Finding the Fourth Proportional to 20,828.24, 31,235.82 and 6,974

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Solution

The fourth proportional to 20,828.24, 31,235.82 and 6,974 is: 10,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828.24 : 31,235.82 = 6,974 : x
  2. Step 2: Convert to fraction form
    20,828.24/31,235.82 = 6,974/x
  3. Step 3: Cross multiply
    20,828.24x = 31,235.82 × 6,974
  4. Step 4: Simplify right side
    20,828.24x = 217,838,608.68
  5. Step 5: Solve for x
    x = 217,838,608.68/20,828.24
  6. Step 6: Final answer
    x = 10,458.81

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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.