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Finding the Fourth Proportional to 1,806.92, 2,706.94 and 1,074.28

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Solution

The fourth proportional to 1,806.92, 2,706.94 and 1,074.28 is: 1,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.92 : 2,706.94 = 1,074.28 : x
  2. Step 2: Convert to fraction form
    1,806.92/2,706.94 = 1,074.28/x
  3. Step 3: Cross multiply
    1,806.92x = 2,706.94 × 1,074.28
  4. Step 4: Simplify right side
    1,806.92x = 2,908,011.50
  5. Step 5: Solve for x
    x = 2,908,011.50/1,806.92
  6. Step 6: Final answer
    x = 1,609.37

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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.