Home / 20,920.78-31,350-11,563.48

Finding the Fourth Proportional to 20,920.78, 31,350 and 11,563.48

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Solution

The fourth proportional to 20,920.78, 31,350 and 11,563.48 is: 17,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.78 : 31,350 = 11,563.48 : x
  2. Step 2: Convert to fraction form
    20,920.78/31,350 = 11,563.48/x
  3. Step 3: Cross multiply
    20,920.78x = 31,350 × 11,563.48
  4. Step 4: Simplify right side
    20,920.78x = 362,515,098
  5. Step 5: Solve for x
    x = 362,515,098/20,920.78
  6. Step 6: Final answer
    x = 17,327.99

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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.