Home / 20,827.36-31,245.84-6,976

Finding the Fourth Proportional to 20,827.36, 31,245.84 and 6,976

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Solution

The fourth proportional to 20,827.36, 31,245.84 and 6,976 is: 10,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.36 : 31,245.84 = 6,976 : x
  2. Step 2: Convert to fraction form
    20,827.36/31,245.84 = 6,976/x
  3. Step 3: Cross multiply
    20,827.36x = 31,245.84 × 6,976
  4. Step 4: Simplify right side
    20,827.36x = 217,970,979.84
  5. Step 5: Solve for x
    x = 217,970,979.84/20,827.36
  6. Step 6: Final answer
    x = 10,465.61

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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.