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Finding the Fourth Proportional to 3,863.99, 5,797.44 and 1,784.99

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Solution

The fourth proportional to 3,863.99, 5,797.44 and 1,784.99 is: 2,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.99 : 5,797.44 = 1,784.99 : x
  2. Step 2: Convert to fraction form
    3,863.99/5,797.44 = 1,784.99/x
  3. Step 3: Cross multiply
    3,863.99x = 5,797.44 × 1,784.99
  4. Step 4: Simplify right side
    3,863.99x = 10,348,372.43
  5. Step 5: Solve for x
    x = 10,348,372.43/3,863.99
  6. Step 6: Final answer
    x = 2,678.16

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1.5x scale

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.