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Finding the Fourth Proportional to 13,946.84, 20,922.57 and 6,927.09

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Solution

The fourth proportional to 13,946.84, 20,922.57 and 6,927.09 is: 10,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.84 : 20,922.57 = 6,927.09 : x
  2. Step 2: Convert to fraction form
    13,946.84/20,922.57 = 6,927.09/x
  3. Step 3: Cross multiply
    13,946.84x = 20,922.57 × 6,927.09
  4. Step 4: Simplify right side
    13,946.84x = 144,932,525.42
  5. Step 5: Solve for x
    x = 144,932,525.42/13,946.84
  6. Step 6: Final answer
    x = 10,391.78

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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.