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Finding the Fourth Proportional to 10,890, 16,335 and 2,682

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Solution

The fourth proportional to 10,890, 16,335 and 2,682 is: 4,023

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890 : 16,335 = 2,682 : x
  2. Step 2: Convert to fraction form
    10,890/16,335 = 2,682/x
  3. Step 3: Cross multiply
    10,890x = 16,335 × 2,682
  4. Step 4: Simplify right side
    10,890x = 43,810,470
  5. Step 5: Solve for x
    x = 43,810,470/10,890
  6. Step 6: Final answer
    x = 4,023

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Why These Related Problems?

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