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Finding the Fourth Proportional to 4,001.92, 6,004 and 1,228.80

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Solution

The fourth proportional to 4,001.92, 6,004 and 1,228.80 is: 1,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.92 : 6,004 = 1,228.80 : x
  2. Step 2: Convert to fraction form
    4,001.92/6,004 = 1,228.80/x
  3. Step 3: Cross multiply
    4,001.92x = 6,004 × 1,228.80
  4. Step 4: Simplify right side
    4,001.92x = 7,377,715.20
  5. Step 5: Solve for x
    x = 7,377,715.20/4,001.92
  6. Step 6: Final answer
    x = 1,843.54

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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.