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Finding the Fourth Proportional to 2,982.70, 4,472.70 and 1,339.75

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Solution

The fourth proportional to 2,982.70, 4,472.70 and 1,339.75 is: 2,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.70 : 4,472.70 = 1,339.75 : x
  2. Step 2: Convert to fraction form
    2,982.70/4,472.70 = 1,339.75/x
  3. Step 3: Cross multiply
    2,982.70x = 4,472.70 × 1,339.75
  4. Step 4: Simplify right side
    2,982.70x = 5,992,299.83
  5. Step 5: Solve for x
    x = 5,992,299.83/2,982.70
  6. Step 6: Final answer
    x = 2,009.02

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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.