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Finding the Fourth Proportional to 3,813.74, 5,719.60 and 1,348.24

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Solution

The fourth proportional to 3,813.74, 5,719.60 and 1,348.24 is: 2,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.74 : 5,719.60 = 1,348.24 : x
  2. Step 2: Convert to fraction form
    3,813.74/5,719.60 = 1,348.24/x
  3. Step 3: Cross multiply
    3,813.74x = 5,719.60 × 1,348.24
  4. Step 4: Simplify right side
    3,813.74x = 7,711,393.50
  5. Step 5: Solve for x
    x = 7,711,393.50/3,813.74
  6. Step 6: Final answer
    x = 2,022.00

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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.