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Finding the Fourth Proportional to 1,806.08, 2,711.16 and 1,213.53

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Solution

The fourth proportional to 1,806.08, 2,711.16 and 1,213.53 is: 1,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.08 : 2,711.16 = 1,213.53 : x
  2. Step 2: Convert to fraction form
    1,806.08/2,711.16 = 1,213.53/x
  3. Step 3: Cross multiply
    1,806.08x = 2,711.16 × 1,213.53
  4. Step 4: Simplify right side
    1,806.08x = 3,290,073.99
  5. Step 5: Solve for x
    x = 3,290,073.99/1,806.08
  6. Step 6: Final answer
    x = 1,821.67

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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.