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Finding the Fourth Proportional to 3,129.36, 4,694.04 and 820.84

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Solution

The fourth proportional to 3,129.36, 4,694.04 and 820.84 is: 1,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.36 : 4,694.04 = 820.84 : x
  2. Step 2: Convert to fraction form
    3,129.36/4,694.04 = 820.84/x
  3. Step 3: Cross multiply
    3,129.36x = 4,694.04 × 820.84
  4. Step 4: Simplify right side
    3,129.36x = 3,853,055.79
  5. Step 5: Solve for x
    x = 3,853,055.79/3,129.36
  6. Step 6: Final answer
    x = 1,231.26

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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.