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Finding the Fourth Proportional to 25,881.86, 38,814.60 and 11,086.85

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Solution

The fourth proportional to 25,881.86, 38,814.60 and 11,086.85 is: 16,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.86 : 38,814.60 = 11,086.85 : x
  2. Step 2: Convert to fraction form
    25,881.86/38,814.60 = 11,086.85/x
  3. Step 3: Cross multiply
    25,881.86x = 38,814.60 × 11,086.85
  4. Step 4: Simplify right side
    25,881.86x = 430,331,648.01
  5. Step 5: Solve for x
    x = 430,331,648.01/25,881.86
  6. Step 6: Final answer
    x = 16,626.77

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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.