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Finding the Fourth Proportional to 3,670.46, 5,065.15 and 1,991.87

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Solution

The fourth proportional to 3,670.46, 5,065.15 and 1,991.87 is: 2,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.46 : 5,065.15 = 1,991.87 : x
  2. Step 2: Convert to fraction form
    3,670.46/5,065.15 = 1,991.87/x
  3. Step 3: Cross multiply
    3,670.46x = 5,065.15 × 1,991.87
  4. Step 4: Simplify right side
    3,670.46x = 10,089,090.03
  5. Step 5: Solve for x
    x = 10,089,090.03/3,670.46
  6. Step 6: Final answer
    x = 2,748.73

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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.