Home / 2,776.90-4,165.39-829.12

Finding the Fourth Proportional to 2,776.90, 4,165.39 and 829.12

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Solution

The fourth proportional to 2,776.90, 4,165.39 and 829.12 is: 1,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.90 : 4,165.39 = 829.12 : x
  2. Step 2: Convert to fraction form
    2,776.90/4,165.39 = 829.12/x
  3. Step 3: Cross multiply
    2,776.90x = 4,165.39 × 829.12
  4. Step 4: Simplify right side
    2,776.90x = 3,453,608.16
  5. Step 5: Solve for x
    x = 3,453,608.16/2,776.90
  6. Step 6: Final answer
    x = 1,243.69

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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.