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Finding the Fourth Proportional to 3,518.67, 5,278.01 and 2,419.71

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Solution

The fourth proportional to 3,518.67, 5,278.01 and 2,419.71 is: 3,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.67 : 5,278.01 = 2,419.71 : x
  2. Step 2: Convert to fraction form
    3,518.67/5,278.01 = 2,419.71/x
  3. Step 3: Cross multiply
    3,518.67x = 5,278.01 × 2,419.71
  4. Step 4: Simplify right side
    3,518.67x = 12,771,241.48
  5. Step 5: Solve for x
    x = 12,771,241.48/3,518.67
  6. Step 6: Final answer
    x = 3,629.57

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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.