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Finding the Fourth Proportional to 2,284.40, 3,419.40 and 1,636.40

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Solution

The fourth proportional to 2,284.40, 3,419.40 and 1,636.40 is: 2,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.40 : 3,419.40 = 1,636.40 : x
  2. Step 2: Convert to fraction form
    2,284.40/3,419.40 = 1,636.40/x
  3. Step 3: Cross multiply
    2,284.40x = 3,419.40 × 1,636.40
  4. Step 4: Simplify right side
    2,284.40x = 5,595,506.16
  5. Step 5: Solve for x
    x = 5,595,506.16/2,284.40
  6. Step 6: Final answer
    x = 2,449.44

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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.