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Finding the Fourth Proportional to 3,180.57, 4,771.80 and 989.46

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Solution

The fourth proportional to 3,180.57, 4,771.80 and 989.46 is: 1,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.57 : 4,771.80 = 989.46 : x
  2. Step 2: Convert to fraction form
    3,180.57/4,771.80 = 989.46/x
  3. Step 3: Cross multiply
    3,180.57x = 4,771.80 × 989.46
  4. Step 4: Simplify right side
    3,180.57x = 4,721,505.23
  5. Step 5: Solve for x
    x = 4,721,505.23/3,180.57
  6. Step 6: Final answer
    x = 1,484.48

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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.