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Finding the Fourth Proportional to 2,648.99, 3,974.53 and 1,005.97

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Solution

The fourth proportional to 2,648.99, 3,974.53 and 1,005.97 is: 1,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.99 : 3,974.53 = 1,005.97 : x
  2. Step 2: Convert to fraction form
    2,648.99/3,974.53 = 1,005.97/x
  3. Step 3: Cross multiply
    2,648.99x = 3,974.53 × 1,005.97
  4. Step 4: Simplify right side
    2,648.99x = 3,998,257.94
  5. Step 5: Solve for x
    x = 3,998,257.94/2,648.99
  6. Step 6: Final answer
    x = 1,509.35

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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.