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Finding the Fourth Proportional to 8,181.64, 12,273.50 and 8,054.99

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Solution

The fourth proportional to 8,181.64, 12,273.50 and 8,054.99 is: 12,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.64 : 12,273.50 = 8,054.99 : x
  2. Step 2: Convert to fraction form
    8,181.64/12,273.50 = 8,054.99/x
  3. Step 3: Cross multiply
    8,181.64x = 12,273.50 × 8,054.99
  4. Step 4: Simplify right side
    8,181.64x = 98,862,919.77
  5. Step 5: Solve for x
    x = 98,862,919.77/8,181.64
  6. Step 6: Final answer
    x = 12,083.51

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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.