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Finding the Fourth Proportional to 10,972, 16,458 and 2,764

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Solution

The fourth proportional to 10,972, 16,458 and 2,764 is: 4,146

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972 : 16,458 = 2,764 : x
  2. Step 2: Convert to fraction form
    10,972/16,458 = 2,764/x
  3. Step 3: Cross multiply
    10,972x = 16,458 × 2,764
  4. Step 4: Simplify right side
    10,972x = 45,489,912
  5. Step 5: Solve for x
    x = 45,489,912/10,972
  6. Step 6: Final answer
    x = 4,146

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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.