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Finding the Fourth Proportional to 3,198.60, 4,798.58 and 1,812.60

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Solution

The fourth proportional to 3,198.60, 4,798.58 and 1,812.60 is: 2,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.60 : 4,798.58 = 1,812.60 : x
  2. Step 2: Convert to fraction form
    3,198.60/4,798.58 = 1,812.60/x
  3. Step 3: Cross multiply
    3,198.60x = 4,798.58 × 1,812.60
  4. Step 4: Simplify right side
    3,198.60x = 8,697,897.05
  5. Step 5: Solve for x
    x = 8,697,897.05/3,198.60
  6. Step 6: Final answer
    x = 2,719.28

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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.