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Finding the Fourth Proportional to 3,404.61, 4,698.29 and 2,078.30

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Solution

The fourth proportional to 3,404.61, 4,698.29 and 2,078.30 is: 2,868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.61 : 4,698.29 = 2,078.30 : x
  2. Step 2: Convert to fraction form
    3,404.61/4,698.29 = 2,078.30/x
  3. Step 3: Cross multiply
    3,404.61x = 4,698.29 × 2,078.30
  4. Step 4: Simplify right side
    3,404.61x = 9,764,473.05
  5. Step 5: Solve for x
    x = 9,764,473.05/3,404.61
  6. Step 6: Final answer
    x = 2,868.02

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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.