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Finding the Fourth Proportional to 5,105, 7,044.90 and 2,897

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Solution

The fourth proportional to 5,105, 7,044.90 and 2,897 is: 3,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105 : 7,044.90 = 2,897 : x
  2. Step 2: Convert to fraction form
    5,105/7,044.90 = 2,897/x
  3. Step 3: Cross multiply
    5,105x = 7,044.90 × 2,897
  4. Step 4: Simplify right side
    5,105x = 20,409,075.30
  5. Step 5: Solve for x
    x = 20,409,075.30/5,105
  6. Step 6: Final answer
    x = 3,997.86

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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.