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Finding the Fourth Proportional to 3,462, 5,192.36 and 1,121.90

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Solution

The fourth proportional to 3,462, 5,192.36 and 1,121.90 is: 1,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462 : 5,192.36 = 1,121.90 : x
  2. Step 2: Convert to fraction form
    3,462/5,192.36 = 1,121.90/x
  3. Step 3: Cross multiply
    3,462x = 5,192.36 × 1,121.90
  4. Step 4: Simplify right side
    3,462x = 5,825,308.68
  5. Step 5: Solve for x
    x = 5,825,308.68/3,462
  6. Step 6: Final answer
    x = 1,682.64

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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.