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Finding the Fourth Proportional to 3,149.21, 4,723.62 and 957.96

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Solution

The fourth proportional to 3,149.21, 4,723.62 and 957.96 is: 1,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.21 : 4,723.62 = 957.96 : x
  2. Step 2: Convert to fraction form
    3,149.21/4,723.62 = 957.96/x
  3. Step 3: Cross multiply
    3,149.21x = 4,723.62 × 957.96
  4. Step 4: Simplify right side
    3,149.21x = 4,525,035.42
  5. Step 5: Solve for x
    x = 4,525,035.42/3,149.21
  6. Step 6: Final answer
    x = 1,436.88

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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.