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Finding the Fourth Proportional to 3,448.92, 5,173.32 and 851.85

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Solution

The fourth proportional to 3,448.92, 5,173.32 and 851.85 is: 1,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.92 : 5,173.32 = 851.85 : x
  2. Step 2: Convert to fraction form
    3,448.92/5,173.32 = 851.85/x
  3. Step 3: Cross multiply
    3,448.92x = 5,173.32 × 851.85
  4. Step 4: Simplify right side
    3,448.92x = 4,406,892.64
  5. Step 5: Solve for x
    x = 4,406,892.64/3,448.92
  6. Step 6: Final answer
    x = 1,277.76

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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.