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Finding the Fourth Proportional to 3,138.57, 4,329.93 and 1,811.33

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Solution

The fourth proportional to 3,138.57, 4,329.93 and 1,811.33 is: 2,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.57 : 4,329.93 = 1,811.33 : x
  2. Step 2: Convert to fraction form
    3,138.57/4,329.93 = 1,811.33/x
  3. Step 3: Cross multiply
    3,138.57x = 4,329.93 × 1,811.33
  4. Step 4: Simplify right side
    3,138.57x = 7,842,942.93
  5. Step 5: Solve for x
    x = 7,842,942.93/3,138.57
  6. Step 6: Final answer
    x = 2,498.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.