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Finding the Fourth Proportional to 1,795, 2,691.26 and 1,274.98

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Solution

The fourth proportional to 1,795, 2,691.26 and 1,274.98 is: 1,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795 : 2,691.26 = 1,274.98 : x
  2. Step 2: Convert to fraction form
    1,795/2,691.26 = 1,274.98/x
  3. Step 3: Cross multiply
    1,795x = 2,691.26 × 1,274.98
  4. Step 4: Simplify right side
    1,795x = 3,431,302.67
  5. Step 5: Solve for x
    x = 3,431,302.67/1,795
  6. Step 6: Final answer
    x = 1,911.59

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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.