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Finding the Fourth Proportional to 3,782, 5,219.02 and 2,103.68

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Solution

The fourth proportional to 3,782, 5,219.02 and 2,103.68 is: 2,903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782 : 5,219.02 = 2,103.68 : x
  2. Step 2: Convert to fraction form
    3,782/5,219.02 = 2,103.68/x
  3. Step 3: Cross multiply
    3,782x = 5,219.02 × 2,103.68
  4. Step 4: Simplify right side
    3,782x = 10,979,147.99
  5. Step 5: Solve for x
    x = 10,979,147.99/3,782
  6. Step 6: Final answer
    x = 2,903.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.