Home / 3,823.04-5,734.56-1,514

Finding the Fourth Proportional to 3,823.04, 5,734.56 and 1,514

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Solution

The fourth proportional to 3,823.04, 5,734.56 and 1,514 is: 2,271

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.04 : 5,734.56 = 1,514 : x
  2. Step 2: Convert to fraction form
    3,823.04/5,734.56 = 1,514/x
  3. Step 3: Cross multiply
    3,823.04x = 5,734.56 × 1,514
  4. Step 4: Simplify right side
    3,823.04x = 8,682,123.84
  5. Step 5: Solve for x
    x = 8,682,123.84/3,823.04
  6. Step 6: Final answer
    x = 2,271

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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.