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Finding the Fourth Proportional to 1,853.36, 2,766.83 and 1,788.49

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Solution

The fourth proportional to 1,853.36, 2,766.83 and 1,788.49 is: 2,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.36 : 2,766.83 = 1,788.49 : x
  2. Step 2: Convert to fraction form
    1,853.36/2,766.83 = 1,788.49/x
  3. Step 3: Cross multiply
    1,853.36x = 2,766.83 × 1,788.49
  4. Step 4: Simplify right side
    1,853.36x = 4,948,426.74
  5. Step 5: Solve for x
    x = 4,948,426.74/1,853.36
  6. Step 6: Final answer
    x = 2,669.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.