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Finding the Fourth Proportional to 12,675, 19,020.18 and 5,379

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Solution

The fourth proportional to 12,675, 19,020.18 and 5,379 is: 8,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675 : 19,020.18 = 5,379 : x
  2. Step 2: Convert to fraction form
    12,675/19,020.18 = 5,379/x
  3. Step 3: Cross multiply
    12,675x = 19,020.18 × 5,379
  4. Step 4: Simplify right side
    12,675x = 102,309,548.22
  5. Step 5: Solve for x
    x = 102,309,548.22/12,675
  6. Step 6: Final answer
    x = 8,071.76

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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.