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Finding the Fourth Proportional to 7,873.10, 11,812.40 and 3,493.64

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Solution

The fourth proportional to 7,873.10, 11,812.40 and 3,493.64 is: 5,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.10 : 11,812.40 = 3,493.64 : x
  2. Step 2: Convert to fraction form
    7,873.10/11,812.40 = 3,493.64/x
  3. Step 3: Cross multiply
    7,873.10x = 11,812.40 × 3,493.64
  4. Step 4: Simplify right side
    7,873.10x = 41,268,273.14
  5. Step 5: Solve for x
    x = 41,268,273.14/7,873.10
  6. Step 6: Final answer
    x = 5,241.68

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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.