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Finding the Fourth Proportional to 2,208.56, 3,047.88 and 1,213.88

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Solution

The fourth proportional to 2,208.56, 3,047.88 and 1,213.88 is: 1,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.56 : 3,047.88 = 1,213.88 : x
  2. Step 2: Convert to fraction form
    2,208.56/3,047.88 = 1,213.88/x
  3. Step 3: Cross multiply
    2,208.56x = 3,047.88 × 1,213.88
  4. Step 4: Simplify right side
    2,208.56x = 3,699,760.57
  5. Step 5: Solve for x
    x = 3,699,760.57/2,208.56
  6. Step 6: Final answer
    x = 1,675.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.