Home / 3,746.26-5,613-2,101.78

Finding the Fourth Proportional to 3,746.26, 5,613 and 2,101.78

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Solution

The fourth proportional to 3,746.26, 5,613 and 2,101.78 is: 3,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.26 : 5,613 = 2,101.78 : x
  2. Step 2: Convert to fraction form
    3,746.26/5,613 = 2,101.78/x
  3. Step 3: Cross multiply
    3,746.26x = 5,613 × 2,101.78
  4. Step 4: Simplify right side
    3,746.26x = 11,797,291.14
  5. Step 5: Solve for x
    x = 11,797,291.14/3,746.26
  6. Step 6: Final answer
    x = 3,149.08

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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.