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Finding the Fourth Proportional to 2,406.81, 3,611.49 and 945.99

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Solution

The fourth proportional to 2,406.81, 3,611.49 and 945.99 is: 1,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.81 : 3,611.49 = 945.99 : x
  2. Step 2: Convert to fraction form
    2,406.81/3,611.49 = 945.99/x
  3. Step 3: Cross multiply
    2,406.81x = 3,611.49 × 945.99
  4. Step 4: Simplify right side
    2,406.81x = 3,416,433.43
  5. Step 5: Solve for x
    x = 3,416,433.43/2,406.81
  6. Step 6: Final answer
    x = 1,419.49

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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.