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Finding the Fourth Proportional to 3,404.70, 4,698.47 and 2,078.15

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Solution

The fourth proportional to 3,404.70, 4,698.47 and 2,078.15 is: 2,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.70 : 4,698.47 = 2,078.15 : x
  2. Step 2: Convert to fraction form
    3,404.70/4,698.47 = 2,078.15/x
  3. Step 3: Cross multiply
    3,404.70x = 4,698.47 × 2,078.15
  4. Step 4: Simplify right side
    3,404.70x = 9,764,107.13
  5. Step 5: Solve for x
    x = 9,764,107.13/3,404.70
  6. Step 6: Final answer
    x = 2,867.83

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1.5x scale

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.