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Finding the Fourth Proportional to 1,350.54, 1,863.99 and 827.01

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Solution

The fourth proportional to 1,350.54, 1,863.99 and 827.01 is: 1,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.54 : 1,863.99 = 827.01 : x
  2. Step 2: Convert to fraction form
    1,350.54/1,863.99 = 827.01/x
  3. Step 3: Cross multiply
    1,350.54x = 1,863.99 × 827.01
  4. Step 4: Simplify right side
    1,350.54x = 1,541,538.37
  5. Step 5: Solve for x
    x = 1,541,538.37/1,350.54
  6. Step 6: Final answer
    x = 1,141.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.