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Finding the Fourth Proportional to 3,405, 4,694.58 and 2,519.31

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Solution

The fourth proportional to 3,405, 4,694.58 and 2,519.31 is: 3,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405 : 4,694.58 = 2,519.31 : x
  2. Step 2: Convert to fraction form
    3,405/4,694.58 = 2,519.31/x
  3. Step 3: Cross multiply
    3,405x = 4,694.58 × 2,519.31
  4. Step 4: Simplify right side
    3,405x = 11,827,102.34
  5. Step 5: Solve for x
    x = 11,827,102.34/3,405
  6. Step 6: Final answer
    x = 3,473.45

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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.