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Finding the Fourth Proportional to 12,277.72, 18,416.46 and 5,251.78

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Solution

The fourth proportional to 12,277.72, 18,416.46 and 5,251.78 is: 7,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.72 : 18,416.46 = 5,251.78 : x
  2. Step 2: Convert to fraction form
    12,277.72/18,416.46 = 5,251.78/x
  3. Step 3: Cross multiply
    12,277.72x = 18,416.46 × 5,251.78
  4. Step 4: Simplify right side
    12,277.72x = 96,719,170.04
  5. Step 5: Solve for x
    x = 96,719,170.04/12,277.72
  6. Step 6: Final answer
    x = 7,877.62

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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.