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Finding the Fourth Proportional to 1,795.89, 2,693.22 and 821.46

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Solution

The fourth proportional to 1,795.89, 2,693.22 and 821.46 is: 1,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.89 : 2,693.22 = 821.46 : x
  2. Step 2: Convert to fraction form
    1,795.89/2,693.22 = 821.46/x
  3. Step 3: Cross multiply
    1,795.89x = 2,693.22 × 821.46
  4. Step 4: Simplify right side
    1,795.89x = 2,212,372.50
  5. Step 5: Solve for x
    x = 2,212,372.50/1,795.89
  6. Step 6: Final answer
    x = 1,231.91

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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.