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Finding the Fourth Proportional to 2,982.38, 4,473.56 and 930.38

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Solution

The fourth proportional to 2,982.38, 4,473.56 and 930.38 is: 1,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.38 : 4,473.56 = 930.38 : x
  2. Step 2: Convert to fraction form
    2,982.38/4,473.56 = 930.38/x
  3. Step 3: Cross multiply
    2,982.38x = 4,473.56 × 930.38
  4. Step 4: Simplify right side
    2,982.38x = 4,162,090.71
  5. Step 5: Solve for x
    x = 4,162,090.71/2,982.38
  6. Step 6: Final answer
    x = 1,395.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.