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Finding the Fourth Proportional to 1,890.78, 2,836.44 and 721.22

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Solution

The fourth proportional to 1,890.78, 2,836.44 and 721.22 is: 1,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.78 : 2,836.44 = 721.22 : x
  2. Step 2: Convert to fraction form
    1,890.78/2,836.44 = 721.22/x
  3. Step 3: Cross multiply
    1,890.78x = 2,836.44 × 721.22
  4. Step 4: Simplify right side
    1,890.78x = 2,045,697.26
  5. Step 5: Solve for x
    x = 2,045,697.26/1,890.78
  6. Step 6: Final answer
    x = 1,081.93

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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.