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Finding the Fourth Proportional to 3,194.65, 4,409.81 and 1,868.77

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Solution

The fourth proportional to 3,194.65, 4,409.81 and 1,868.77 is: 2,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.65 : 4,409.81 = 1,868.77 : x
  2. Step 2: Convert to fraction form
    3,194.65/4,409.81 = 1,868.77/x
  3. Step 3: Cross multiply
    3,194.65x = 4,409.81 × 1,868.77
  4. Step 4: Simplify right side
    3,194.65x = 8,240,911.29
  5. Step 5: Solve for x
    x = 8,240,911.29/3,194.65
  6. Step 6: Final answer
    x = 2,579.60

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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.