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Finding the Fourth Proportional to 13,072, 18,028.82 and 8,471.20

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Solution

The fourth proportional to 13,072, 18,028.82 and 8,471.20 is: 11,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072 : 18,028.82 = 8,471.20 : x
  2. Step 2: Convert to fraction form
    13,072/18,028.82 = 8,471.20/x
  3. Step 3: Cross multiply
    13,072x = 18,028.82 × 8,471.20
  4. Step 4: Simplify right side
    13,072x = 152,725,739.98
  5. Step 5: Solve for x
    x = 152,725,739.98/13,072
  6. Step 6: Final answer
    x = 11,683.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.