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Finding the Fourth Proportional to 21,519, 32,278.50 and 6,927

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Solution

The fourth proportional to 21,519, 32,278.50 and 6,927 is: 10,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,519 : 32,278.50 = 6,927 : x
  2. Step 2: Convert to fraction form
    21,519/32,278.50 = 6,927/x
  3. Step 3: Cross multiply
    21,519x = 32,278.50 × 6,927
  4. Step 4: Simplify right side
    21,519x = 223,593,169.50
  5. Step 5: Solve for x
    x = 223,593,169.50/21,519
  6. Step 6: Final answer
    x = 10,390.50

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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.