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Finding the Fourth Proportional to 14,768.84, 20,381.32 and 8,394.42

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Solution

The fourth proportional to 14,768.84, 20,381.32 and 8,394.42 is: 11,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.84 : 20,381.32 = 8,394.42 : x
  2. Step 2: Convert to fraction form
    14,768.84/20,381.32 = 8,394.42/x
  3. Step 3: Cross multiply
    14,768.84x = 20,381.32 × 8,394.42
  4. Step 4: Simplify right side
    14,768.84x = 171,089,360.23
  5. Step 5: Solve for x
    x = 171,089,360.23/14,768.84
  6. Step 6: Final answer
    x = 11,584.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.