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Finding the Fourth Proportional to 3,199.92, 4,799.07 and 1,225.14

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Solution

The fourth proportional to 3,199.92, 4,799.07 and 1,225.14 is: 1,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.92 : 4,799.07 = 1,225.14 : x
  2. Step 2: Convert to fraction form
    3,199.92/4,799.07 = 1,225.14/x
  3. Step 3: Cross multiply
    3,199.92x = 4,799.07 × 1,225.14
  4. Step 4: Simplify right side
    3,199.92x = 5,879,532.62
  5. Step 5: Solve for x
    x = 5,879,532.62/3,199.92
  6. Step 6: Final answer
    x = 1,837.40

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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.