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Finding the Fourth Proportional to 3,399.62, 4,693.10 and 2,141.28

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Solution

The fourth proportional to 3,399.62, 4,693.10 and 2,141.28 is: 2,955.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.62 : 4,693.10 = 2,141.28 : x
  2. Step 2: Convert to fraction form
    3,399.62/4,693.10 = 2,141.28/x
  3. Step 3: Cross multiply
    3,399.62x = 4,693.10 × 2,141.28
  4. Step 4: Simplify right side
    3,399.62x = 10,049,230.46
  5. Step 5: Solve for x
    x = 10,049,230.46/3,399.62
  6. Step 6: Final answer
    x = 2,955.99

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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.