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Finding the Fourth Proportional to 2,099, 2,897.36 and 1,271

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Solution

The fourth proportional to 2,099, 2,897.36 and 1,271 is: 1,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099 : 2,897.36 = 1,271 : x
  2. Step 2: Convert to fraction form
    2,099/2,897.36 = 1,271/x
  3. Step 3: Cross multiply
    2,099x = 2,897.36 × 1,271
  4. Step 4: Simplify right side
    2,099x = 3,682,544.56
  5. Step 5: Solve for x
    x = 3,682,544.56/2,099
  6. Step 6: Final answer
    x = 1,754.43

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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.