Home / 20,968.52-31,458.24-7,821

Finding the Fourth Proportional to 20,968.52, 31,458.24 and 7,821

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Solution

The fourth proportional to 20,968.52, 31,458.24 and 7,821 is: 11,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,968.52 : 31,458.24 = 7,821 : x
  2. Step 2: Convert to fraction form
    20,968.52/31,458.24 = 7,821/x
  3. Step 3: Cross multiply
    20,968.52x = 31,458.24 × 7,821
  4. Step 4: Simplify right side
    20,968.52x = 246,034,895.04
  5. Step 5: Solve for x
    x = 246,034,895.04/20,968.52
  6. Step 6: Final answer
    x = 11,733.54

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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.