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Finding the Fourth Proportional to 1,806.90, 2,706.03 and 1,228.02

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Solution

The fourth proportional to 1,806.90, 2,706.03 and 1,228.02 is: 1,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.90 : 2,706.03 = 1,228.02 : x
  2. Step 2: Convert to fraction form
    1,806.90/2,706.03 = 1,228.02/x
  3. Step 3: Cross multiply
    1,806.90x = 2,706.03 × 1,228.02
  4. Step 4: Simplify right side
    1,806.90x = 3,323,058.96
  5. Step 5: Solve for x
    x = 3,323,058.96/1,806.90
  6. Step 6: Final answer
    x = 1,839.09

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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.