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Finding the Fourth Proportional to 12,775, 19,163.58 and 3,541

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Solution

The fourth proportional to 12,775, 19,163.58 and 3,541 is: 5,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775 : 19,163.58 = 3,541 : x
  2. Step 2: Convert to fraction form
    12,775/19,163.58 = 3,541/x
  3. Step 3: Cross multiply
    12,775x = 19,163.58 × 3,541
  4. Step 4: Simplify right side
    12,775x = 67,858,236.78
  5. Step 5: Solve for x
    x = 67,858,236.78/12,775
  6. Step 6: Final answer
    x = 5,311.80

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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.