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Finding the Fourth Proportional to 24,431.50, 36,645.41 and 7,790.86

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Solution

The fourth proportional to 24,431.50, 36,645.41 and 7,790.86 is: 11,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.50 : 36,645.41 = 7,790.86 : x
  2. Step 2: Convert to fraction form
    24,431.50/36,645.41 = 7,790.86/x
  3. Step 3: Cross multiply
    24,431.50x = 36,645.41 × 7,790.86
  4. Step 4: Simplify right side
    24,431.50x = 285,499,258.95
  5. Step 5: Solve for x
    x = 285,499,258.95/24,431.50
  6. Step 6: Final answer
    x = 11,685.70

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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.