Home / 1,982.56-2,972.48-1,006.78

Finding the Fourth Proportional to 1,982.56, 2,972.48 and 1,006.78

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Solution

The fourth proportional to 1,982.56, 2,972.48 and 1,006.78 is: 1,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.56 : 2,972.48 = 1,006.78 : x
  2. Step 2: Convert to fraction form
    1,982.56/2,972.48 = 1,006.78/x
  3. Step 3: Cross multiply
    1,982.56x = 2,972.48 × 1,006.78
  4. Step 4: Simplify right side
    1,982.56x = 2,992,633.41
  5. Step 5: Solve for x
    x = 2,992,633.41/1,982.56
  6. Step 6: Final answer
    x = 1,509.48

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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.