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Finding the Fourth Proportional to 10,651.57, 15,969.79 and 4,072.21

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Solution

The fourth proportional to 10,651.57, 15,969.79 and 4,072.21 is: 6,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.57 : 15,969.79 = 4,072.21 : x
  2. Step 2: Convert to fraction form
    10,651.57/15,969.79 = 4,072.21/x
  3. Step 3: Cross multiply
    10,651.57x = 15,969.79 × 4,072.21
  4. Step 4: Simplify right side
    10,651.57x = 65,032,338.54
  5. Step 5: Solve for x
    x = 65,032,338.54/10,651.57
  6. Step 6: Final answer
    x = 6,105.42

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1.5x scale

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.