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Finding the Fourth Proportional to 2,584.54, 3,877.07 and 829.11

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Solution

The fourth proportional to 2,584.54, 3,877.07 and 829.11 is: 1,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.54 : 3,877.07 = 829.11 : x
  2. Step 2: Convert to fraction form
    2,584.54/3,877.07 = 829.11/x
  3. Step 3: Cross multiply
    2,584.54x = 3,877.07 × 829.11
  4. Step 4: Simplify right side
    2,584.54x = 3,214,517.51
  5. Step 5: Solve for x
    x = 3,214,517.51/2,584.54
  6. Step 6: Final answer
    x = 1,243.75

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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.