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Finding the Fourth Proportional to 20,824, 31,239.25 and 6,780.71

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Solution

The fourth proportional to 20,824, 31,239.25 and 6,780.71 is: 10,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824 : 31,239.25 = 6,780.71 : x
  2. Step 2: Convert to fraction form
    20,824/31,239.25 = 6,780.71/x
  3. Step 3: Cross multiply
    20,824x = 31,239.25 × 6,780.71
  4. Step 4: Simplify right side
    20,824x = 211,824,294.87
  5. Step 5: Solve for x
    x = 211,824,294.87/20,824
  6. Step 6: Final answer
    x = 10,172.12

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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.