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Finding the Fourth Proportional to 3,904.31, 5,856.02 and 982.61

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Solution

The fourth proportional to 3,904.31, 5,856.02 and 982.61 is: 1,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.31 : 5,856.02 = 982.61 : x
  2. Step 2: Convert to fraction form
    3,904.31/5,856.02 = 982.61/x
  3. Step 3: Cross multiply
    3,904.31x = 5,856.02 × 982.61
  4. Step 4: Simplify right side
    3,904.31x = 5,754,149.62
  5. Step 5: Solve for x
    x = 5,754,149.62/3,904.31
  6. Step 6: Final answer
    x = 1,473.80

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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.