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Finding the Fourth Proportional to 7,107.56, 10,661.24 and 3,209.24

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Solution

The fourth proportional to 7,107.56, 10,661.24 and 3,209.24 is: 4,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.56 : 10,661.24 = 3,209.24 : x
  2. Step 2: Convert to fraction form
    7,107.56/10,661.24 = 3,209.24/x
  3. Step 3: Cross multiply
    7,107.56x = 10,661.24 × 3,209.24
  4. Step 4: Simplify right side
    7,107.56x = 34,214,477.86
  5. Step 5: Solve for x
    x = 34,214,477.86/7,107.56
  6. Step 6: Final answer
    x = 4,813.81

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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.