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Finding the Fourth Proportional to 12,675, 19,012.77 and 3,910.68

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Solution

The fourth proportional to 12,675, 19,012.77 and 3,910.68 is: 5,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675 : 19,012.77 = 3,910.68 : x
  2. Step 2: Convert to fraction form
    12,675/19,012.77 = 3,910.68/x
  3. Step 3: Cross multiply
    12,675x = 19,012.77 × 3,910.68
  4. Step 4: Simplify right side
    12,675x = 74,352,859.38
  5. Step 5: Solve for x
    x = 74,352,859.38/12,675
  6. Step 6: Final answer
    x = 5,866.10

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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.