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Finding the Fourth Proportional to 3,905.88, 5,858.74 and 984.20

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Solution

The fourth proportional to 3,905.88, 5,858.74 and 984.20 is: 1,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.88 : 5,858.74 = 984.20 : x
  2. Step 2: Convert to fraction form
    3,905.88/5,858.74 = 984.20/x
  3. Step 3: Cross multiply
    3,905.88x = 5,858.74 × 984.20
  4. Step 4: Simplify right side
    3,905.88x = 5,766,171.91
  5. Step 5: Solve for x
    x = 5,766,171.91/3,905.88
  6. Step 6: Final answer
    x = 1,476.28

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1.5x scale

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.