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Finding the Fourth Proportional to 21,518, 32,277 and 6,926

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Solution

The fourth proportional to 21,518, 32,277 and 6,926 is: 10,389

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,518 : 32,277 = 6,926 : x
  2. Step 2: Convert to fraction form
    21,518/32,277 = 6,926/x
  3. Step 3: Cross multiply
    21,518x = 32,277 × 6,926
  4. Step 4: Simplify right side
    21,518x = 223,550,502
  5. Step 5: Solve for x
    x = 223,550,502/21,518
  6. Step 6: Final answer
    x = 10,389

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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.