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Finding the Fourth Proportional to 19,291.86, 28,940.10 and 6,809.31

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Solution

The fourth proportional to 19,291.86, 28,940.10 and 6,809.31 is: 10,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,291.86 : 28,940.10 = 6,809.31 : x
  2. Step 2: Convert to fraction form
    19,291.86/28,940.10 = 6,809.31/x
  3. Step 3: Cross multiply
    19,291.86x = 28,940.10 × 6,809.31
  4. Step 4: Simplify right side
    19,291.86x = 197,062,112.33
  5. Step 5: Solve for x
    x = 197,062,112.33/19,291.86
  6. Step 6: Final answer
    x = 10,214.78

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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.