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Finding the Fourth Proportional to 2,829.53, 4,244.91 and 855.00

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Solution

The fourth proportional to 2,829.53, 4,244.91 and 855.00 is: 1,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.53 : 4,244.91 = 855.00 : x
  2. Step 2: Convert to fraction form
    2,829.53/4,244.91 = 855.00/x
  3. Step 3: Cross multiply
    2,829.53x = 4,244.91 × 855.00
  4. Step 4: Simplify right side
    2,829.53x = 3,629,372.55
  5. Step 5: Solve for x
    x = 3,629,372.55/2,829.53
  6. Step 6: Final answer
    x = 1,282.68

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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.