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Finding the Fourth Proportional to 15,879.22, 21,912.86 and 8,709

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Solution

The fourth proportional to 15,879.22, 21,912.86 and 8,709 is: 12,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,879.22 : 21,912.86 = 8,709 : x
  2. Step 2: Convert to fraction form
    15,879.22/21,912.86 = 8,709/x
  3. Step 3: Cross multiply
    15,879.22x = 21,912.86 × 8,709
  4. Step 4: Simplify right side
    15,879.22x = 190,839,097.74
  5. Step 5: Solve for x
    x = 190,839,097.74/15,879.22
  6. Step 6: Final answer
    x = 12,018.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.