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Finding the Fourth Proportional to 3,405, 4,697.82 and 2,078.04

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Solution

The fourth proportional to 3,405, 4,697.82 and 2,078.04 is: 2,867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405 : 4,697.82 = 2,078.04 : x
  2. Step 2: Convert to fraction form
    3,405/4,697.82 = 2,078.04/x
  3. Step 3: Cross multiply
    3,405x = 4,697.82 × 2,078.04
  4. Step 4: Simplify right side
    3,405x = 9,762,257.87
  5. Step 5: Solve for x
    x = 9,762,257.87/3,405
  6. Step 6: Final answer
    x = 2,867.04

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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.