Home / 1,830.21-2,744.76-1,537.80

Finding the Fourth Proportional to 1,830.21, 2,744.76 and 1,537.80

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Solution

The fourth proportional to 1,830.21, 2,744.76 and 1,537.80 is: 2,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.21 : 2,744.76 = 1,537.80 : x
  2. Step 2: Convert to fraction form
    1,830.21/2,744.76 = 1,537.80/x
  3. Step 3: Cross multiply
    1,830.21x = 2,744.76 × 1,537.80
  4. Step 4: Simplify right side
    1,830.21x = 4,220,891.93
  5. Step 5: Solve for x
    x = 4,220,891.93/1,830.21
  6. Step 6: Final answer
    x = 2,306.23

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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.