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Finding the Fourth Proportional to 25,633.80, 38,447.46 and 8,105.40

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Solution

The fourth proportional to 25,633.80, 38,447.46 and 8,105.40 is: 12,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,633.80 : 38,447.46 = 8,105.40 : x
  2. Step 2: Convert to fraction form
    25,633.80/38,447.46 = 8,105.40/x
  3. Step 3: Cross multiply
    25,633.80x = 38,447.46 × 8,105.40
  4. Step 4: Simplify right side
    25,633.80x = 311,632,042.28
  5. Step 5: Solve for x
    x = 311,632,042.28/25,633.80
  6. Step 6: Final answer
    x = 12,157.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.