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Finding the Fourth Proportional to 30,493.68, 45,749.16 and 12,966

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Solution

The fourth proportional to 30,493.68, 45,749.16 and 12,966 is: 19,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.68 : 45,749.16 = 12,966 : x
  2. Step 2: Convert to fraction form
    30,493.68/45,749.16 = 12,966/x
  3. Step 3: Cross multiply
    30,493.68x = 45,749.16 × 12,966
  4. Step 4: Simplify right side
    30,493.68x = 593,183,608.56
  5. Step 5: Solve for x
    x = 593,183,608.56/30,493.68
  6. Step 6: Final answer
    x = 19,452.67

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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.