Home / 3,902-5,383.08-2,557.16

Finding the Fourth Proportional to 3,902, 5,383.08 and 2,557.16

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Solution

The fourth proportional to 3,902, 5,383.08 and 2,557.16 is: 3,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902 : 5,383.08 = 2,557.16 : x
  2. Step 2: Convert to fraction form
    3,902/5,383.08 = 2,557.16/x
  3. Step 3: Cross multiply
    3,902x = 5,383.08 × 2,557.16
  4. Step 4: Simplify right side
    3,902x = 13,765,396.85
  5. Step 5: Solve for x
    x = 13,765,396.85/3,902
  6. Step 6: Final answer
    x = 3,527.78

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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.