Home / 20,822.25-31,216.96-7,667.44

Finding the Fourth Proportional to 20,822.25, 31,216.96 and 7,667.44

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Solution

The fourth proportional to 20,822.25, 31,216.96 and 7,667.44 is: 11,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.25 : 31,216.96 = 7,667.44 : x
  2. Step 2: Convert to fraction form
    20,822.25/31,216.96 = 7,667.44/x
  3. Step 3: Cross multiply
    20,822.25x = 31,216.96 × 7,667.44
  4. Step 4: Simplify right side
    20,822.25x = 239,354,167.78
  5. Step 5: Solve for x
    x = 239,354,167.78/20,822.25
  6. Step 6: Final answer
    x = 11,495.12

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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.