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Finding the Fourth Proportional to 1,893.55, 2,841.26 and 854.27

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Solution

The fourth proportional to 1,893.55, 2,841.26 and 854.27 is: 1,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.55 : 2,841.26 = 854.27 : x
  2. Step 2: Convert to fraction form
    1,893.55/2,841.26 = 854.27/x
  3. Step 3: Cross multiply
    1,893.55x = 2,841.26 × 854.27
  4. Step 4: Simplify right side
    1,893.55x = 2,427,198.91
  5. Step 5: Solve for x
    x = 2,427,198.91/1,893.55
  6. Step 6: Final answer
    x = 1,281.82

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1.5x scale

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.