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Finding the Fourth Proportional to 2,086.96, 2,878.34 and 1,341

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Solution

The fourth proportional to 2,086.96, 2,878.34 and 1,341 is: 1,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.96 : 2,878.34 = 1,341 : x
  2. Step 2: Convert to fraction form
    2,086.96/2,878.34 = 1,341/x
  3. Step 3: Cross multiply
    2,086.96x = 2,878.34 × 1,341
  4. Step 4: Simplify right side
    2,086.96x = 3,859,853.94
  5. Step 5: Solve for x
    x = 3,859,853.94/2,086.96
  6. Step 6: Final answer
    x = 1,849.51

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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.