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Finding the Fourth Proportional to 2,279.96, 3,147.92 and 1,747.92

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Solution

The fourth proportional to 2,279.96, 3,147.92 and 1,747.92 is: 2,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.96 : 3,147.92 = 1,747.92 : x
  2. Step 2: Convert to fraction form
    2,279.96/3,147.92 = 1,747.92/x
  3. Step 3: Cross multiply
    2,279.96x = 3,147.92 × 1,747.92
  4. Step 4: Simplify right side
    2,279.96x = 5,502,312.33
  5. Step 5: Solve for x
    x = 5,502,312.33/2,279.96
  6. Step 6: Final answer
    x = 2,413.34

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1.5x scale

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.