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Finding the Fourth Proportional to 11,402.68, 17,106.96 and 10,161.76

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Solution

The fourth proportional to 11,402.68, 17,106.96 and 10,161.76 is: 15,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.68 : 17,106.96 = 10,161.76 : x
  2. Step 2: Convert to fraction form
    11,402.68/17,106.96 = 10,161.76/x
  3. Step 3: Cross multiply
    11,402.68x = 17,106.96 × 10,161.76
  4. Step 4: Simplify right side
    11,402.68x = 173,836,821.85
  5. Step 5: Solve for x
    x = 173,836,821.85/11,402.68
  6. Step 6: Final answer
    x = 15,245.26

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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.