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Finding the Fourth Proportional to 12,871.73, 19,271.19 and 8,180.11

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Solution

The fourth proportional to 12,871.73, 19,271.19 and 8,180.11 is: 12,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.73 : 19,271.19 = 8,180.11 : x
  2. Step 2: Convert to fraction form
    12,871.73/19,271.19 = 8,180.11/x
  3. Step 3: Cross multiply
    12,871.73x = 19,271.19 × 8,180.11
  4. Step 4: Simplify right side
    12,871.73x = 157,640,405.85
  5. Step 5: Solve for x
    x = 157,640,405.85/12,871.73
  6. Step 6: Final answer
    x = 12,247.02

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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.