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Finding the Fourth Proportional to 2,829.83, 3,906.99 and 1,821.99

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Solution

The fourth proportional to 2,829.83, 3,906.99 and 1,821.99 is: 2,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.83 : 3,906.99 = 1,821.99 : x
  2. Step 2: Convert to fraction form
    2,829.83/3,906.99 = 1,821.99/x
  3. Step 3: Cross multiply
    2,829.83x = 3,906.99 × 1,821.99
  4. Step 4: Simplify right side
    2,829.83x = 7,118,496.71
  5. Step 5: Solve for x
    x = 7,118,496.71/2,829.83
  6. Step 6: Final answer
    x = 2,515.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.