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Finding the Fourth Proportional to 2,128.63, 3,191.05 and 829.80

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Solution

The fourth proportional to 2,128.63, 3,191.05 and 829.80 is: 1,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.63 : 3,191.05 = 829.80 : x
  2. Step 2: Convert to fraction form
    2,128.63/3,191.05 = 829.80/x
  3. Step 3: Cross multiply
    2,128.63x = 3,191.05 × 829.80
  4. Step 4: Simplify right side
    2,128.63x = 2,647,933.29
  5. Step 5: Solve for x
    x = 2,647,933.29/2,128.63
  6. Step 6: Final answer
    x = 1,243.96

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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.