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Finding the Fourth Proportional to 2,008.25, 3,012.98 and 854.09

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Solution

The fourth proportional to 2,008.25, 3,012.98 and 854.09 is: 1,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.25 : 3,012.98 = 854.09 : x
  2. Step 2: Convert to fraction form
    2,008.25/3,012.98 = 854.09/x
  3. Step 3: Cross multiply
    2,008.25x = 3,012.98 × 854.09
  4. Step 4: Simplify right side
    2,008.25x = 2,573,356.09
  5. Step 5: Solve for x
    x = 2,573,356.09/2,008.25
  6. Step 6: Final answer
    x = 1,281.39

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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.