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Finding the Fourth Proportional to 2,784.85, 4,169.07 and 2,057.68

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Solution

The fourth proportional to 2,784.85, 4,169.07 and 2,057.68 is: 3,080.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.85 : 4,169.07 = 2,057.68 : x
  2. Step 2: Convert to fraction form
    2,784.85/4,169.07 = 2,057.68/x
  3. Step 3: Cross multiply
    2,784.85x = 4,169.07 × 2,057.68
  4. Step 4: Simplify right side
    2,784.85x = 8,578,611.96
  5. Step 5: Solve for x
    x = 8,578,611.96/2,784.85
  6. Step 6: Final answer
    x = 3,080.46

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1.5x scale

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.