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Finding the Fourth Proportional to 3,806.61, 5,701.79 and 1,829.33

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Solution

The fourth proportional to 3,806.61, 5,701.79 and 1,829.33 is: 2,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.61 : 5,701.79 = 1,829.33 : x
  2. Step 2: Convert to fraction form
    3,806.61/5,701.79 = 1,829.33/x
  3. Step 3: Cross multiply
    3,806.61x = 5,701.79 × 1,829.33
  4. Step 4: Simplify right side
    3,806.61x = 10,430,426.99
  5. Step 5: Solve for x
    x = 10,430,426.99/3,806.61
  6. Step 6: Final answer
    x = 2,740.09

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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.