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Finding the Fourth Proportional to 1,992.72, 2,750.28 and 1,153.80

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Solution

The fourth proportional to 1,992.72, 2,750.28 and 1,153.80 is: 1,592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.72 : 2,750.28 = 1,153.80 : x
  2. Step 2: Convert to fraction form
    1,992.72/2,750.28 = 1,153.80/x
  3. Step 3: Cross multiply
    1,992.72x = 2,750.28 × 1,153.80
  4. Step 4: Simplify right side
    1,992.72x = 3,173,273.06
  5. Step 5: Solve for x
    x = 3,173,273.06/1,992.72
  6. Step 6: Final answer
    x = 1,592.43

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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.