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Finding the Fourth Proportional to 8,130.70, 12,198.39 and 3,973.10

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Solution

The fourth proportional to 8,130.70, 12,198.39 and 3,973.10 is: 5,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.70 : 12,198.39 = 3,973.10 : x
  2. Step 2: Convert to fraction form
    8,130.70/12,198.39 = 3,973.10/x
  3. Step 3: Cross multiply
    8,130.70x = 12,198.39 × 3,973.10
  4. Step 4: Simplify right side
    8,130.70x = 48,465,403.44
  5. Step 5: Solve for x
    x = 48,465,403.44/8,130.70
  6. Step 6: Final answer
    x = 5,960.79

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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.