Home / 2,774.10-4,161.77-826.26

Finding the Fourth Proportional to 2,774.10, 4,161.77 and 826.26

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Solution

The fourth proportional to 2,774.10, 4,161.77 and 826.26 is: 1,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.10 : 4,161.77 = 826.26 : x
  2. Step 2: Convert to fraction form
    2,774.10/4,161.77 = 826.26/x
  3. Step 3: Cross multiply
    2,774.10x = 4,161.77 × 826.26
  4. Step 4: Simplify right side
    2,774.10x = 3,438,699.95
  5. Step 5: Solve for x
    x = 3,438,699.95/2,774.10
  6. Step 6: Final answer
    x = 1,239.57

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1.5x scale

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.