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Finding the Fourth Proportional to 3,796.40, 5,694.95 and 1,023.01

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Solution

The fourth proportional to 3,796.40, 5,694.95 and 1,023.01 is: 1,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.40 : 5,694.95 = 1,023.01 : x
  2. Step 2: Convert to fraction form
    3,796.40/5,694.95 = 1,023.01/x
  3. Step 3: Cross multiply
    3,796.40x = 5,694.95 × 1,023.01
  4. Step 4: Simplify right side
    3,796.40x = 5,826,005.40
  5. Step 5: Solve for x
    x = 5,826,005.40/3,796.40
  6. Step 6: Final answer
    x = 1,534.61

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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.