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Finding the Fourth Proportional to 1,824.27, 2,736.33 and 654.23

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Solution

The fourth proportional to 1,824.27, 2,736.33 and 654.23 is: 981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.27 : 2,736.33 = 654.23 : x
  2. Step 2: Convert to fraction form
    1,824.27/2,736.33 = 654.23/x
  3. Step 3: Cross multiply
    1,824.27x = 2,736.33 × 654.23
  4. Step 4: Simplify right side
    1,824.27x = 1,790,175.49
  5. Step 5: Solve for x
    x = 1,790,175.49/1,824.27
  6. Step 6: Final answer
    x = 981.31

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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.