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Finding the Fourth Proportional to 10,889.34, 16,326.84 and 7,180.26

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Solution

The fourth proportional to 10,889.34, 16,326.84 and 7,180.26 is: 10,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.34 : 16,326.84 = 7,180.26 : x
  2. Step 2: Convert to fraction form
    10,889.34/16,326.84 = 7,180.26/x
  3. Step 3: Cross multiply
    10,889.34x = 16,326.84 × 7,180.26
  4. Step 4: Simplify right side
    10,889.34x = 117,230,956.18
  5. Step 5: Solve for x
    x = 117,230,956.18/10,889.34
  6. Step 6: Final answer
    x = 10,765.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.