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Finding the Fourth Proportional to 12,672.98, 19,012 and 3,907.56

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Solution

The fourth proportional to 12,672.98, 19,012 and 3,907.56 is: 5,862.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672.98 : 19,012 = 3,907.56 : x
  2. Step 2: Convert to fraction form
    12,672.98/19,012 = 3,907.56/x
  3. Step 3: Cross multiply
    12,672.98x = 19,012 × 3,907.56
  4. Step 4: Simplify right side
    12,672.98x = 74,290,530.72
  5. Step 5: Solve for x
    x = 74,290,530.72/12,672.98
  6. Step 6: Final answer
    x = 5,862.12

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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.