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Finding the Fourth Proportional to 4,145.64, 5,723.10 and 3,199.31

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Solution

The fourth proportional to 4,145.64, 5,723.10 and 3,199.31 is: 4,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.64 : 5,723.10 = 3,199.31 : x
  2. Step 2: Convert to fraction form
    4,145.64/5,723.10 = 3,199.31/x
  3. Step 3: Cross multiply
    4,145.64x = 5,723.10 × 3,199.31
  4. Step 4: Simplify right side
    4,145.64x = 18,309,942.45
  5. Step 5: Solve for x
    x = 18,309,942.45/4,145.64
  6. Step 6: Final answer
    x = 4,416.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.