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Finding the Fourth Proportional to 1,827.31, 2,739.66 and 852.88

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Solution

The fourth proportional to 1,827.31, 2,739.66 and 852.88 is: 1,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.31 : 2,739.66 = 852.88 : x
  2. Step 2: Convert to fraction form
    1,827.31/2,739.66 = 852.88/x
  3. Step 3: Cross multiply
    1,827.31x = 2,739.66 × 852.88
  4. Step 4: Simplify right side
    1,827.31x = 2,336,601.22
  5. Step 5: Solve for x
    x = 2,336,601.22/1,827.31
  6. Step 6: Final answer
    x = 1,278.71

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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.