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Finding the Fourth Proportional to 3,181.67, 4,772.10 and 990.35

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Solution

The fourth proportional to 3,181.67, 4,772.10 and 990.35 is: 1,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.67 : 4,772.10 = 990.35 : x
  2. Step 2: Convert to fraction form
    3,181.67/4,772.10 = 990.35/x
  3. Step 3: Cross multiply
    3,181.67x = 4,772.10 × 990.35
  4. Step 4: Simplify right side
    3,181.67x = 4,726,049.24
  5. Step 5: Solve for x
    x = 4,726,049.24/3,181.67
  6. Step 6: Final answer
    x = 1,485.40

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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.