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Finding the Fourth Proportional to 2,729.08, 4,092.54 and 1,189

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Solution

The fourth proportional to 2,729.08, 4,092.54 and 1,189 is: 1,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.08 : 4,092.54 = 1,189 : x
  2. Step 2: Convert to fraction form
    2,729.08/4,092.54 = 1,189/x
  3. Step 3: Cross multiply
    2,729.08x = 4,092.54 × 1,189
  4. Step 4: Simplify right side
    2,729.08x = 4,866,030.06
  5. Step 5: Solve for x
    x = 4,866,030.06/2,729.08
  6. Step 6: Final answer
    x = 1,783.03

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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.