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Finding the Fourth Proportional to 2,199, 3,034.68 and 1,267.56

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Solution

The fourth proportional to 2,199, 3,034.68 and 1,267.56 is: 1,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199 : 3,034.68 = 1,267.56 : x
  2. Step 2: Convert to fraction form
    2,199/3,034.68 = 1,267.56/x
  3. Step 3: Cross multiply
    2,199x = 3,034.68 × 1,267.56
  4. Step 4: Simplify right side
    2,199x = 3,846,638.98
  5. Step 5: Solve for x
    x = 3,846,638.98/2,199
  6. Step 6: Final answer
    x = 1,749.27

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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.