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Finding the Fourth Proportional to 3,176.05, 4,764.26 and 985.09

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Solution

The fourth proportional to 3,176.05, 4,764.26 and 985.09 is: 1,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.05 : 4,764.26 = 985.09 : x
  2. Step 2: Convert to fraction form
    3,176.05/4,764.26 = 985.09/x
  3. Step 3: Cross multiply
    3,176.05x = 4,764.26 × 985.09
  4. Step 4: Simplify right side
    3,176.05x = 4,693,219.96
  5. Step 5: Solve for x
    x = 4,693,219.96/3,176.05
  6. Step 6: Final answer
    x = 1,477.69

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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.