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Finding the Fourth Proportional to 7,141.72, 10,716.22 and 3,245.64

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Solution

The fourth proportional to 7,141.72, 10,716.22 and 3,245.64 is: 4,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.72 : 10,716.22 = 3,245.64 : x
  2. Step 2: Convert to fraction form
    7,141.72/10,716.22 = 3,245.64/x
  3. Step 3: Cross multiply
    7,141.72x = 10,716.22 × 3,245.64
  4. Step 4: Simplify right side
    7,141.72x = 34,780,992.28
  5. Step 5: Solve for x
    x = 34,780,992.28/7,141.72
  6. Step 6: Final answer
    x = 4,870.11

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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.