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Finding the Fourth Proportional to 1,889.77, 2,833.29 and 1,271.94

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Solution

The fourth proportional to 1,889.77, 2,833.29 and 1,271.94 is: 1,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.77 : 2,833.29 = 1,271.94 : x
  2. Step 2: Convert to fraction form
    1,889.77/2,833.29 = 1,271.94/x
  3. Step 3: Cross multiply
    1,889.77x = 2,833.29 × 1,271.94
  4. Step 4: Simplify right side
    1,889.77x = 3,603,774.88
  5. Step 5: Solve for x
    x = 3,603,774.88/1,889.77
  6. Step 6: Final answer
    x = 1,906.99

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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.