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Finding the Fourth Proportional to 12,675.82, 19,013.82 and 3,910.54

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Solution

The fourth proportional to 12,675.82, 19,013.82 and 3,910.54 is: 5,865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.82 : 19,013.82 = 3,910.54 : x
  2. Step 2: Convert to fraction form
    12,675.82/19,013.82 = 3,910.54/x
  3. Step 3: Cross multiply
    12,675.82x = 19,013.82 × 3,910.54
  4. Step 4: Simplify right side
    12,675.82x = 74,354,303.66
  5. Step 5: Solve for x
    x = 74,354,303.66/12,675.82
  6. Step 6: Final answer
    x = 5,865.84

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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.