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Finding the Fourth Proportional to 10,900, 16,350 and 2,692

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Solution

The fourth proportional to 10,900, 16,350 and 2,692 is: 4,038

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900 : 16,350 = 2,692 : x
  2. Step 2: Convert to fraction form
    10,900/16,350 = 2,692/x
  3. Step 3: Cross multiply
    10,900x = 16,350 × 2,692
  4. Step 4: Simplify right side
    10,900x = 44,014,200
  5. Step 5: Solve for x
    x = 44,014,200/10,900
  6. Step 6: Final answer
    x = 4,038

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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.