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Finding the Fourth Proportional to 3,181.65, 4,770.95 and 990.39

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Solution

The fourth proportional to 3,181.65, 4,770.95 and 990.39 is: 1,485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.65 : 4,770.95 = 990.39 : x
  2. Step 2: Convert to fraction form
    3,181.65/4,770.95 = 990.39/x
  3. Step 3: Cross multiply
    3,181.65x = 4,770.95 × 990.39
  4. Step 4: Simplify right side
    3,181.65x = 4,725,101.17
  5. Step 5: Solve for x
    x = 4,725,101.17/3,181.65
  6. Step 6: Final answer
    x = 1,485.11

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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.