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Finding the Fourth Proportional to 12,354.12, 18,535.23 and 4,954.77

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Solution

The fourth proportional to 12,354.12, 18,535.23 and 4,954.77 is: 7,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.12 : 18,535.23 = 4,954.77 : x
  2. Step 2: Convert to fraction form
    12,354.12/18,535.23 = 4,954.77/x
  3. Step 3: Cross multiply
    12,354.12x = 18,535.23 × 4,954.77
  4. Step 4: Simplify right side
    12,354.12x = 91,837,801.55
  5. Step 5: Solve for x
    x = 91,837,801.55/12,354.12
  6. Step 6: Final answer
    x = 7,433.78

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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.