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Finding the Fourth Proportional to 3,176.21, 4,764.10 and 984.75

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Solution

The fourth proportional to 3,176.21, 4,764.10 and 984.75 is: 1,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.21 : 4,764.10 = 984.75 : x
  2. Step 2: Convert to fraction form
    3,176.21/4,764.10 = 984.75/x
  3. Step 3: Cross multiply
    3,176.21x = 4,764.10 × 984.75
  4. Step 4: Simplify right side
    3,176.21x = 4,691,447.48
  5. Step 5: Solve for x
    x = 4,691,447.48/3,176.21
  6. Step 6: Final answer
    x = 1,477.06

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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.