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Finding the Fourth Proportional to 2,843.70, 3,919.75 and 1,897.62

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Solution

The fourth proportional to 2,843.70, 3,919.75 and 1,897.62 is: 2,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.70 : 3,919.75 = 1,897.62 : x
  2. Step 2: Convert to fraction form
    2,843.70/3,919.75 = 1,897.62/x
  3. Step 3: Cross multiply
    2,843.70x = 3,919.75 × 1,897.62
  4. Step 4: Simplify right side
    2,843.70x = 7,438,196.00
  5. Step 5: Solve for x
    x = 7,438,196.00/2,843.70
  6. Step 6: Final answer
    x = 2,615.68

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1.5x scale

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.