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Finding the Fourth Proportional to 2,489.68, 3,716.42 and 2,284.24

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Solution

The fourth proportional to 2,489.68, 3,716.42 and 2,284.24 is: 3,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.68 : 3,716.42 = 2,284.24 : x
  2. Step 2: Convert to fraction form
    2,489.68/3,716.42 = 2,284.24/x
  3. Step 3: Cross multiply
    2,489.68x = 3,716.42 × 2,284.24
  4. Step 4: Simplify right side
    2,489.68x = 8,489,195.22
  5. Step 5: Solve for x
    x = 8,489,195.22/2,489.68
  6. Step 6: Final answer
    x = 3,409.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.