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Finding the Fourth Proportional to 13,689.34, 18,889.56 and 8,026

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Solution

The fourth proportional to 13,689.34, 18,889.56 and 8,026 is: 11,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.34 : 18,889.56 = 8,026 : x
  2. Step 2: Convert to fraction form
    13,689.34/18,889.56 = 8,026/x
  3. Step 3: Cross multiply
    13,689.34x = 18,889.56 × 8,026
  4. Step 4: Simplify right side
    13,689.34x = 151,607,608.56
  5. Step 5: Solve for x
    x = 151,607,608.56/13,689.34
  6. Step 6: Final answer
    x = 11,074.87

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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.