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Finding the Fourth Proportional to 3,199.67, 4,799.16 and 859.91

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Solution

The fourth proportional to 3,199.67, 4,799.16 and 859.91 is: 1,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.67 : 4,799.16 = 859.91 : x
  2. Step 2: Convert to fraction form
    3,199.67/4,799.16 = 859.91/x
  3. Step 3: Cross multiply
    3,199.67x = 4,799.16 × 859.91
  4. Step 4: Simplify right side
    3,199.67x = 4,126,841.38
  5. Step 5: Solve for x
    x = 4,126,841.38/3,199.67
  6. Step 6: Final answer
    x = 1,289.77

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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.