Home / 2,774.06-4,160.87-826.27

Finding the Fourth Proportional to 2,774.06, 4,160.87 and 826.27

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Solution

The fourth proportional to 2,774.06, 4,160.87 and 826.27 is: 1,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.06 : 4,160.87 = 826.27 : x
  2. Step 2: Convert to fraction form
    2,774.06/4,160.87 = 826.27/x
  3. Step 3: Cross multiply
    2,774.06x = 4,160.87 × 826.27
  4. Step 4: Simplify right side
    2,774.06x = 3,437,983.87
  5. Step 5: Solve for x
    x = 3,437,983.87/2,774.06
  6. Step 6: Final answer
    x = 1,239.33

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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.