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Finding the Fourth Proportional to 2,092.76, 3,138.24 and 705.75

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Solution

The fourth proportional to 2,092.76, 3,138.24 and 705.75 is: 1,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.76 : 3,138.24 = 705.75 : x
  2. Step 2: Convert to fraction form
    2,092.76/3,138.24 = 705.75/x
  3. Step 3: Cross multiply
    2,092.76x = 3,138.24 × 705.75
  4. Step 4: Simplify right side
    2,092.76x = 2,214,812.88
  5. Step 5: Solve for x
    x = 2,214,812.88/2,092.76
  6. Step 6: Final answer
    x = 1,058.32

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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.