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Finding the Fourth Proportional to 21,194.56, 31,807.72 and 7,879.84

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Solution

The fourth proportional to 21,194.56, 31,807.72 and 7,879.84 is: 11,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.56 : 31,807.72 = 7,879.84 : x
  2. Step 2: Convert to fraction form
    21,194.56/31,807.72 = 7,879.84/x
  3. Step 3: Cross multiply
    21,194.56x = 31,807.72 × 7,879.84
  4. Step 4: Simplify right side
    21,194.56x = 250,639,744.36
  5. Step 5: Solve for x
    x = 250,639,744.36/21,194.56
  6. Step 6: Final answer
    x = 11,825.66

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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.