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Finding the Fourth Proportional to 3,181.60, 4,772.54 and 990.37

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Solution

The fourth proportional to 3,181.60, 4,772.54 and 990.37 is: 1,485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.60 : 4,772.54 = 990.37 : x
  2. Step 2: Convert to fraction form
    3,181.60/4,772.54 = 990.37/x
  3. Step 3: Cross multiply
    3,181.60x = 4,772.54 × 990.37
  4. Step 4: Simplify right side
    3,181.60x = 4,726,580.44
  5. Step 5: Solve for x
    x = 4,726,580.44/3,181.60
  6. Step 6: Final answer
    x = 1,485.60

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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.