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Finding the Fourth Proportional to 3,199.14, 4,798.98 and 859.14

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Solution

The fourth proportional to 3,199.14, 4,798.98 and 859.14 is: 1,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.14 : 4,798.98 = 859.14 : x
  2. Step 2: Convert to fraction form
    3,199.14/4,798.98 = 859.14/x
  3. Step 3: Cross multiply
    3,199.14x = 4,798.98 × 859.14
  4. Step 4: Simplify right side
    3,199.14x = 4,122,995.68
  5. Step 5: Solve for x
    x = 4,122,995.68/3,199.14
  6. Step 6: Final answer
    x = 1,288.78

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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.