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Finding the Fourth Proportional to 3,841, 5,762.86 and 1,894.58

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Solution

The fourth proportional to 3,841, 5,762.86 and 1,894.58 is: 2,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841 : 5,762.86 = 1,894.58 : x
  2. Step 2: Convert to fraction form
    3,841/5,762.86 = 1,894.58/x
  3. Step 3: Cross multiply
    3,841x = 5,762.86 × 1,894.58
  4. Step 4: Simplify right side
    3,841x = 10,918,199.30
  5. Step 5: Solve for x
    x = 10,918,199.30/3,841
  6. Step 6: Final answer
    x = 2,842.54

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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.