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Finding the Fourth Proportional to 10,455.82, 15,673.83 and 3,877.54

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Solution

The fourth proportional to 10,455.82, 15,673.83 and 3,877.54 is: 5,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.82 : 15,673.83 = 3,877.54 : x
  2. Step 2: Convert to fraction form
    10,455.82/15,673.83 = 3,877.54/x
  3. Step 3: Cross multiply
    10,455.82x = 15,673.83 × 3,877.54
  4. Step 4: Simplify right side
    10,455.82x = 60,775,902.78
  5. Step 5: Solve for x
    x = 60,775,902.78/10,455.82
  6. Step 6: Final answer
    x = 5,812.64

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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.