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Finding the Fourth Proportional to 3,180.72, 4,771.31 and 989.62

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Solution

The fourth proportional to 3,180.72, 4,771.31 and 989.62 is: 1,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.72 : 4,771.31 = 989.62 : x
  2. Step 2: Convert to fraction form
    3,180.72/4,771.31 = 989.62/x
  3. Step 3: Cross multiply
    3,180.72x = 4,771.31 × 989.62
  4. Step 4: Simplify right side
    3,180.72x = 4,721,766.93
  5. Step 5: Solve for x
    x = 4,721,766.93/3,180.72
  6. Step 6: Final answer
    x = 1,484.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,181.72, 4,772.81 and 990.62
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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.