Home / 1,830.26-2,748.13-1,584.23

Finding the Fourth Proportional to 1,830.26, 2,748.13 and 1,584.23

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Solution

The fourth proportional to 1,830.26, 2,748.13 and 1,584.23 is: 2,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.26 : 2,748.13 = 1,584.23 : x
  2. Step 2: Convert to fraction form
    1,830.26/2,748.13 = 1,584.23/x
  3. Step 3: Cross multiply
    1,830.26x = 2,748.13 × 1,584.23
  4. Step 4: Simplify right side
    1,830.26x = 4,353,656.25
  5. Step 5: Solve for x
    x = 4,353,656.25/1,830.26
  6. Step 6: Final answer
    x = 2,378.71

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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.