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Finding the Fourth Proportional to 7,873, 11,811.42 and 2,401

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Solution

The fourth proportional to 7,873, 11,811.42 and 2,401 is: 3,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873 : 11,811.42 = 2,401 : x
  2. Step 2: Convert to fraction form
    7,873/11,811.42 = 2,401/x
  3. Step 3: Cross multiply
    7,873x = 11,811.42 × 2,401
  4. Step 4: Simplify right side
    7,873x = 28,359,219.42
  5. Step 5: Solve for x
    x = 28,359,219.42/7,873
  6. Step 6: Final answer
    x = 3,602.09

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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.