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Finding the Fourth Proportional to 10,674.84, 14,731.41 and 6,198.78

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Solution

The fourth proportional to 10,674.84, 14,731.41 and 6,198.78 is: 8,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.84 : 14,731.41 = 6,198.78 : x
  2. Step 2: Convert to fraction form
    10,674.84/14,731.41 = 6,198.78/x
  3. Step 3: Cross multiply
    10,674.84x = 14,731.41 × 6,198.78
  4. Step 4: Simplify right side
    10,674.84x = 91,316,769.68
  5. Step 5: Solve for x
    x = 91,316,769.68/10,674.84
  6. Step 6: Final answer
    x = 8,554.39

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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.