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Finding the Fourth Proportional to 2,057.39, 3,086.34 and 670.35

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Solution

The fourth proportional to 2,057.39, 3,086.34 and 670.35 is: 1,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.39 : 3,086.34 = 670.35 : x
  2. Step 2: Convert to fraction form
    2,057.39/3,086.34 = 670.35/x
  3. Step 3: Cross multiply
    2,057.39x = 3,086.34 × 670.35
  4. Step 4: Simplify right side
    2,057.39x = 2,068,937.08
  5. Step 5: Solve for x
    x = 2,068,937.08/2,057.39
  6. Step 6: Final answer
    x = 1,005.61

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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.