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Finding the Fourth Proportional to 3,914.09, 5,871.12 and 992.38

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Solution

The fourth proportional to 3,914.09, 5,871.12 and 992.38 is: 1,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.09 : 5,871.12 = 992.38 : x
  2. Step 2: Convert to fraction form
    3,914.09/5,871.12 = 992.38/x
  3. Step 3: Cross multiply
    3,914.09x = 5,871.12 × 992.38
  4. Step 4: Simplify right side
    3,914.09x = 5,826,385.68
  5. Step 5: Solve for x
    x = 5,826,385.68/3,914.09
  6. Step 6: Final answer
    x = 1,488.57

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Similar ratio
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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.