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Finding the Fourth Proportional to 3,199.65, 4,798.79 and 1,007.89

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Solution

The fourth proportional to 3,199.65, 4,798.79 and 1,007.89 is: 1,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.65 : 4,798.79 = 1,007.89 : x
  2. Step 2: Convert to fraction form
    3,199.65/4,798.79 = 1,007.89/x
  3. Step 3: Cross multiply
    3,199.65x = 4,798.79 × 1,007.89
  4. Step 4: Simplify right side
    3,199.65x = 4,836,671.86
  5. Step 5: Solve for x
    x = 4,836,671.86/3,199.65
  6. Step 6: Final answer
    x = 1,511.62

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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.