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Finding the Fourth Proportional to 2,305.92, 3,456.92 and 920.28

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Solution

The fourth proportional to 2,305.92, 3,456.92 and 920.28 is: 1,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.92 : 3,456.92 = 920.28 : x
  2. Step 2: Convert to fraction form
    2,305.92/3,456.92 = 920.28/x
  3. Step 3: Cross multiply
    2,305.92x = 3,456.92 × 920.28
  4. Step 4: Simplify right side
    2,305.92x = 3,181,334.34
  5. Step 5: Solve for x
    x = 3,181,334.34/2,305.92
  6. Step 6: Final answer
    x = 1,379.64

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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.