Home / 2,092.28-3,138.48-705.64

Finding the Fourth Proportional to 2,092.28, 3,138.48 and 705.64

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Solution

The fourth proportional to 2,092.28, 3,138.48 and 705.64 is: 1,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.28 : 3,138.48 = 705.64 : x
  2. Step 2: Convert to fraction form
    2,092.28/3,138.48 = 705.64/x
  3. Step 3: Cross multiply
    2,092.28x = 3,138.48 × 705.64
  4. Step 4: Simplify right side
    2,092.28x = 2,214,637.03
  5. Step 5: Solve for x
    x = 2,214,637.03/2,092.28
  6. Step 6: Final answer
    x = 1,058.48

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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.