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Finding the Fourth Proportional to 1,859.80, 2,792.94 and 1,795

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Solution

The fourth proportional to 1,859.80, 2,792.94 and 1,795 is: 2,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.80 : 2,792.94 = 1,795 : x
  2. Step 2: Convert to fraction form
    1,859.80/2,792.94 = 1,795/x
  3. Step 3: Cross multiply
    1,859.80x = 2,792.94 × 1,795
  4. Step 4: Simplify right side
    1,859.80x = 5,013,327.30
  5. Step 5: Solve for x
    x = 5,013,327.30/1,859.80
  6. Step 6: Final answer
    x = 2,695.63

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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.