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Finding the Fourth Proportional to 21,520, 32,280 and 6,928

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Solution

The fourth proportional to 21,520, 32,280 and 6,928 is: 10,392

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,520 : 32,280 = 6,928 : x
  2. Step 2: Convert to fraction form
    21,520/32,280 = 6,928/x
  3. Step 3: Cross multiply
    21,520x = 32,280 × 6,928
  4. Step 4: Simplify right side
    21,520x = 223,635,840
  5. Step 5: Solve for x
    x = 223,635,840/21,520
  6. Step 6: Final answer
    x = 10,392

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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.