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Finding the Fourth Proportional to 12,664.49, 17,474.86 and 7,627.51

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Solution

The fourth proportional to 12,664.49, 17,474.86 and 7,627.51 is: 10,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.49 : 17,474.86 = 7,627.51 : x
  2. Step 2: Convert to fraction form
    12,664.49/17,474.86 = 7,627.51/x
  3. Step 3: Cross multiply
    12,664.49x = 17,474.86 × 7,627.51
  4. Step 4: Simplify right side
    12,664.49x = 133,289,606.64
  5. Step 5: Solve for x
    x = 133,289,606.64/12,664.49
  6. Step 6: Final answer
    x = 10,524.67

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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.