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Finding the Fourth Proportional to 2,057.51, 3,086.19 and 670.83

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Solution

The fourth proportional to 2,057.51, 3,086.19 and 670.83 is: 1,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.51 : 3,086.19 = 670.83 : x
  2. Step 2: Convert to fraction form
    2,057.51/3,086.19 = 670.83/x
  3. Step 3: Cross multiply
    2,057.51x = 3,086.19 × 670.83
  4. Step 4: Simplify right side
    2,057.51x = 2,070,308.84
  5. Step 5: Solve for x
    x = 2,070,308.84/2,057.51
  6. Step 6: Final answer
    x = 1,006.22

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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.