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Finding the Fourth Proportional to 23,778.56, 35,656.82 and 8,781.88

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Solution

The fourth proportional to 23,778.56, 35,656.82 and 8,781.88 is: 13,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.56 : 35,656.82 = 8,781.88 : x
  2. Step 2: Convert to fraction form
    23,778.56/35,656.82 = 8,781.88/x
  3. Step 3: Cross multiply
    23,778.56x = 35,656.82 × 8,781.88
  4. Step 4: Simplify right side
    23,778.56x = 313,133,914.42
  5. Step 5: Solve for x
    x = 313,133,914.42/23,778.56
  6. Step 6: Final answer
    x = 13,168.75

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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.