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Finding the Fourth Proportional to 3,904.88, 5,857.24 and 983.20

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Solution

The fourth proportional to 3,904.88, 5,857.24 and 983.20 is: 1,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.88 : 5,857.24 = 983.20 : x
  2. Step 2: Convert to fraction form
    3,904.88/5,857.24 = 983.20/x
  3. Step 3: Cross multiply
    3,904.88x = 5,857.24 × 983.20
  4. Step 4: Simplify right side
    3,904.88x = 5,758,838.37
  5. Step 5: Solve for x
    x = 5,758,838.37/3,904.88
  6. Step 6: Final answer
    x = 1,474.78

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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.