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Finding the Fourth Proportional to 19,647, 27,112.86 and 10,815

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Solution

The fourth proportional to 19,647, 27,112.86 and 10,815 is: 14,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647 : 27,112.86 = 10,815 : x
  2. Step 2: Convert to fraction form
    19,647/27,112.86 = 10,815/x
  3. Step 3: Cross multiply
    19,647x = 27,112.86 × 10,815
  4. Step 4: Simplify right side
    19,647x = 293,225,580.90
  5. Step 5: Solve for x
    x = 293,225,580.90/19,647
  6. Step 6: Final answer
    x = 14,924.70

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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.