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Finding the Fourth Proportional to 3,458.14, 5,187.99 and 992.86

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Solution

The fourth proportional to 3,458.14, 5,187.99 and 992.86 is: 1,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.14 : 5,187.99 = 992.86 : x
  2. Step 2: Convert to fraction form
    3,458.14/5,187.99 = 992.86/x
  3. Step 3: Cross multiply
    3,458.14x = 5,187.99 × 992.86
  4. Step 4: Simplify right side
    3,458.14x = 5,150,947.75
  5. Step 5: Solve for x
    x = 5,150,947.75/3,458.14
  6. Step 6: Final answer
    x = 1,489.51

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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.