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Finding the Fourth Proportional to 4,576, 6,857.44 and 2,491.48

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Solution

The fourth proportional to 4,576, 6,857.44 and 2,491.48 is: 3,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576 : 6,857.44 = 2,491.48 : x
  2. Step 2: Convert to fraction form
    4,576/6,857.44 = 2,491.48/x
  3. Step 3: Cross multiply
    4,576x = 6,857.44 × 2,491.48
  4. Step 4: Simplify right side
    4,576x = 17,085,174.61
  5. Step 5: Solve for x
    x = 17,085,174.61/4,576
  6. Step 6: Final answer
    x = 3,733.65

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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.