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Finding the Fourth Proportional to 1,884.75, 2,824.43 and 829.29

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Solution

The fourth proportional to 1,884.75, 2,824.43 and 829.29 is: 1,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.75 : 2,824.43 = 829.29 : x
  2. Step 2: Convert to fraction form
    1,884.75/2,824.43 = 829.29/x
  3. Step 3: Cross multiply
    1,884.75x = 2,824.43 × 829.29
  4. Step 4: Simplify right side
    1,884.75x = 2,342,267.41
  5. Step 5: Solve for x
    x = 2,342,267.41/1,884.75
  6. Step 6: Final answer
    x = 1,242.75

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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.