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Finding the Fourth Proportional to 3,813, 5,719.50 and 1,504.50

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Solution

The fourth proportional to 3,813, 5,719.50 and 1,504.50 is: 2,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813 : 5,719.50 = 1,504.50 : x
  2. Step 2: Convert to fraction form
    3,813/5,719.50 = 1,504.50/x
  3. Step 3: Cross multiply
    3,813x = 5,719.50 × 1,504.50
  4. Step 4: Simplify right side
    3,813x = 8,604,987.75
  5. Step 5: Solve for x
    x = 8,604,987.75/3,813
  6. Step 6: Final answer
    x = 2,256.75

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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.