Home / 2,909.06-4,363.62-829.09

Finding the Fourth Proportional to 2,909.06, 4,363.62 and 829.09

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Solution

The fourth proportional to 2,909.06, 4,363.62 and 829.09 is: 1,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.06 : 4,363.62 = 829.09 : x
  2. Step 2: Convert to fraction form
    2,909.06/4,363.62 = 829.09/x
  3. Step 3: Cross multiply
    2,909.06x = 4,363.62 × 829.09
  4. Step 4: Simplify right side
    2,909.06x = 3,617,816.17
  5. Step 5: Solve for x
    x = 3,617,816.17/2,909.06
  6. Step 6: Final answer
    x = 1,243.64

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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.