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Finding the Fourth Proportional to 12,751.95, 19,127.94 and 3,986.91

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Solution

The fourth proportional to 12,751.95, 19,127.94 and 3,986.91 is: 5,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.95 : 19,127.94 = 3,986.91 : x
  2. Step 2: Convert to fraction form
    12,751.95/19,127.94 = 3,986.91/x
  3. Step 3: Cross multiply
    12,751.95x = 19,127.94 × 3,986.91
  4. Step 4: Simplify right side
    12,751.95x = 76,261,375.27
  5. Step 5: Solve for x
    x = 76,261,375.27/12,751.95
  6. Step 6: Final answer
    x = 5,980.37

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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.