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Finding the Fourth Proportional to 12,838.41, 19,257.49 and 6,918.09

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Solution

The fourth proportional to 12,838.41, 19,257.49 and 6,918.09 is: 10,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.41 : 19,257.49 = 6,918.09 : x
  2. Step 2: Convert to fraction form
    12,838.41/19,257.49 = 6,918.09/x
  3. Step 3: Cross multiply
    12,838.41x = 19,257.49 × 6,918.09
  4. Step 4: Simplify right side
    12,838.41x = 133,225,048.99
  5. Step 5: Solve for x
    x = 133,225,048.99/12,838.41
  6. Step 6: Final answer
    x = 10,377.07

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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.