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Finding the Fourth Proportional to 4,979.53, 7,469.91 and 1,648.11

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Solution

The fourth proportional to 4,979.53, 7,469.91 and 1,648.11 is: 2,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,979.53 : 7,469.91 = 1,648.11 : x
  2. Step 2: Convert to fraction form
    4,979.53/7,469.91 = 1,648.11/x
  3. Step 3: Cross multiply
    4,979.53x = 7,469.91 × 1,648.11
  4. Step 4: Simplify right side
    4,979.53x = 12,311,233.37
  5. Step 5: Solve for x
    x = 12,311,233.37/4,979.53
  6. Step 6: Final answer
    x = 2,472.37

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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.