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Finding the Fourth Proportional to 21,540, 32,310 and 6,948

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Solution

The fourth proportional to 21,540, 32,310 and 6,948 is: 10,422

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,540 : 32,310 = 6,948 : x
  2. Step 2: Convert to fraction form
    21,540/32,310 = 6,948/x
  3. Step 3: Cross multiply
    21,540x = 32,310 × 6,948
  4. Step 4: Simplify right side
    21,540x = 224,489,880
  5. Step 5: Solve for x
    x = 224,489,880/21,540
  6. Step 6: Final answer
    x = 10,422

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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.