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Finding the Fourth Proportional to 8,130.87, 12,187.92 and 3,965.73

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Solution

The fourth proportional to 8,130.87, 12,187.92 and 3,965.73 is: 5,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.87 : 12,187.92 = 3,965.73 : x
  2. Step 2: Convert to fraction form
    8,130.87/12,187.92 = 3,965.73/x
  3. Step 3: Cross multiply
    8,130.87x = 12,187.92 × 3,965.73
  4. Step 4: Simplify right side
    8,130.87x = 48,334,045.69
  5. Step 5: Solve for x
    x = 48,334,045.69/8,130.87
  6. Step 6: Final answer
    x = 5,944.51

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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.