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Finding the Fourth Proportional to 14,650.62, 21,971.66 and 8,409.56

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Solution

The fourth proportional to 14,650.62, 21,971.66 and 8,409.56 is: 12,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650.62 : 21,971.66 = 8,409.56 : x
  2. Step 2: Convert to fraction form
    14,650.62/21,971.66 = 8,409.56/x
  3. Step 3: Cross multiply
    14,650.62x = 21,971.66 × 8,409.56
  4. Step 4: Simplify right side
    14,650.62x = 184,771,993.07
  5. Step 5: Solve for x
    x = 184,771,993.07/14,650.62
  6. Step 6: Final answer
    x = 12,611.89

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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.