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Finding the Fourth Proportional to 12,583.46, 18,877.46 and 5,183.88

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Solution

The fourth proportional to 12,583.46, 18,877.46 and 5,183.88 is: 7,776.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.46 : 18,877.46 = 5,183.88 : x
  2. Step 2: Convert to fraction form
    12,583.46/18,877.46 = 5,183.88/x
  3. Step 3: Cross multiply
    12,583.46x = 18,877.46 × 5,183.88
  4. Step 4: Simplify right side
    12,583.46x = 97,858,487.34
  5. Step 5: Solve for x
    x = 97,858,487.34/12,583.46
  6. Step 6: Final answer
    x = 7,776.76

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Why These Related Problems?

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