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Finding the Fourth Proportional to 13,072, 18,054.21 and 8,872.96

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Solution

The fourth proportional to 13,072, 18,054.21 and 8,872.96 is: 12,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072 : 18,054.21 = 8,872.96 : x
  2. Step 2: Convert to fraction form
    13,072/18,054.21 = 8,872.96/x
  3. Step 3: Cross multiply
    13,072x = 18,054.21 × 8,872.96
  4. Step 4: Simplify right side
    13,072x = 160,194,283.16
  5. Step 5: Solve for x
    x = 160,194,283.16/13,072
  6. Step 6: Final answer
    x = 12,254.76

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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.