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Finding the Fourth Proportional to 3,829.51, 5,711 and 3,338.65

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Solution

The fourth proportional to 3,829.51, 5,711 and 3,338.65 is: 4,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.51 : 5,711 = 3,338.65 : x
  2. Step 2: Convert to fraction form
    3,829.51/5,711 = 3,338.65/x
  3. Step 3: Cross multiply
    3,829.51x = 5,711 × 3,338.65
  4. Step 4: Simplify right side
    3,829.51x = 19,067,030.15
  5. Step 5: Solve for x
    x = 19,067,030.15/3,829.51
  6. Step 6: Final answer
    x = 4,978.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.