Home / 20,982-31,430.79-9,721.56

Finding the Fourth Proportional to 20,982, 31,430.79 and 9,721.56

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Solution

The fourth proportional to 20,982, 31,430.79 and 9,721.56 is: 14,562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982 : 31,430.79 = 9,721.56 : x
  2. Step 2: Convert to fraction form
    20,982/31,430.79 = 9,721.56/x
  3. Step 3: Cross multiply
    20,982x = 31,430.79 × 9,721.56
  4. Step 4: Simplify right side
    20,982x = 305,556,310.83
  5. Step 5: Solve for x
    x = 305,556,310.83/20,982
  6. Step 6: Final answer
    x = 14,562.78

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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.