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Finding the Fourth Proportional to 1,212.12, 1,806.12 and 1,172.88

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Solution

The fourth proportional to 1,212.12, 1,806.12 and 1,172.88 is: 1,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.12 : 1,806.12 = 1,172.88 : x
  2. Step 2: Convert to fraction form
    1,212.12/1,806.12 = 1,172.88/x
  3. Step 3: Cross multiply
    1,212.12x = 1,806.12 × 1,172.88
  4. Step 4: Simplify right side
    1,212.12x = 2,118,362.03
  5. Step 5: Solve for x
    x = 2,118,362.03/1,212.12
  6. Step 6: Final answer
    x = 1,747.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.