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Finding the Fourth Proportional to 3,806.94, 5,712.86 and 1,858.08

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Solution

The fourth proportional to 3,806.94, 5,712.86 and 1,858.08 is: 2,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.94 : 5,712.86 = 1,858.08 : x
  2. Step 2: Convert to fraction form
    3,806.94/5,712.86 = 1,858.08/x
  3. Step 3: Cross multiply
    3,806.94x = 5,712.86 × 1,858.08
  4. Step 4: Simplify right side
    3,806.94x = 10,614,950.91
  5. Step 5: Solve for x
    x = 10,614,950.91/3,806.94
  6. Step 6: Final answer
    x = 2,788.32

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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.