Home / 20,682-31,029.12-11,923.20

Finding the Fourth Proportional to 20,682, 31,029.12 and 11,923.20

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Solution

The fourth proportional to 20,682, 31,029.12 and 11,923.20 is: 17,888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682 : 31,029.12 = 11,923.20 : x
  2. Step 2: Convert to fraction form
    20,682/31,029.12 = 11,923.20/x
  3. Step 3: Cross multiply
    20,682x = 31,029.12 × 11,923.20
  4. Step 4: Simplify right side
    20,682x = 369,966,403.58
  5. Step 5: Solve for x
    x = 369,966,403.58/20,682
  6. Step 6: Final answer
    x = 17,888.33

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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.