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Finding the Fourth Proportional to 3,019.68, 4,530 and 1,633.68

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Solution

The fourth proportional to 3,019.68, 4,530 and 1,633.68 is: 2,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.68 : 4,530 = 1,633.68 : x
  2. Step 2: Convert to fraction form
    3,019.68/4,530 = 1,633.68/x
  3. Step 3: Cross multiply
    3,019.68x = 4,530 × 1,633.68
  4. Step 4: Simplify right side
    3,019.68x = 7,400,570.40
  5. Step 5: Solve for x
    x = 7,400,570.40/3,019.68
  6. Step 6: Final answer
    x = 2,450.78

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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.