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Finding the Fourth Proportional to 3,078.83, 4,608.92 and 1,983.98

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Solution

The fourth proportional to 3,078.83, 4,608.92 and 1,983.98 is: 2,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.83 : 4,608.92 = 1,983.98 : x
  2. Step 2: Convert to fraction form
    3,078.83/4,608.92 = 1,983.98/x
  3. Step 3: Cross multiply
    3,078.83x = 4,608.92 × 1,983.98
  4. Step 4: Simplify right side
    3,078.83x = 9,143,987.02
  5. Step 5: Solve for x
    x = 9,143,987.02/3,078.83
  6. Step 6: Final answer
    x = 2,969.96

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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.