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Finding the Fourth Proportional to 3,395, 4,685.28 and 1,998.20

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Solution

The fourth proportional to 3,395, 4,685.28 and 1,998.20 is: 2,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395 : 4,685.28 = 1,998.20 : x
  2. Step 2: Convert to fraction form
    3,395/4,685.28 = 1,998.20/x
  3. Step 3: Cross multiply
    3,395x = 4,685.28 × 1,998.20
  4. Step 4: Simplify right side
    3,395x = 9,362,126.50
  5. Step 5: Solve for x
    x = 9,362,126.50/3,395
  6. Step 6: Final answer
    x = 2,757.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.