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Finding the Fourth Proportional to 1,783.62, 2,674.42 and 1,236.06

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Solution

The fourth proportional to 1,783.62, 2,674.42 and 1,236.06 is: 1,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.62 : 2,674.42 = 1,236.06 : x
  2. Step 2: Convert to fraction form
    1,783.62/2,674.42 = 1,236.06/x
  3. Step 3: Cross multiply
    1,783.62x = 2,674.42 × 1,236.06
  4. Step 4: Simplify right side
    1,783.62x = 3,305,740.50
  5. Step 5: Solve for x
    x = 3,305,740.50/1,783.62
  6. Step 6: Final answer
    x = 1,853.39

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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.