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Finding the Fourth Proportional to 3,834.04, 5,751.60 and 1,643.80

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Solution

The fourth proportional to 3,834.04, 5,751.60 and 1,643.80 is: 2,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.04 : 5,751.60 = 1,643.80 : x
  2. Step 2: Convert to fraction form
    3,834.04/5,751.60 = 1,643.80/x
  3. Step 3: Cross multiply
    3,834.04x = 5,751.60 × 1,643.80
  4. Step 4: Simplify right side
    3,834.04x = 9,454,480.08
  5. Step 5: Solve for x
    x = 9,454,480.08/3,834.04
  6. Step 6: Final answer
    x = 2,465.93

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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.