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Finding the Fourth Proportional to 2,581, 3,872.18 and 849.63

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Solution

The fourth proportional to 2,581, 3,872.18 and 849.63 is: 1,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581 : 3,872.18 = 849.63 : x
  2. Step 2: Convert to fraction form
    2,581/3,872.18 = 849.63/x
  3. Step 3: Cross multiply
    2,581x = 3,872.18 × 849.63
  4. Step 4: Simplify right side
    2,581x = 3,289,920.29
  5. Step 5: Solve for x
    x = 3,289,920.29/2,581
  6. Step 6: Final answer
    x = 1,274.67

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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.