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Finding the Fourth Proportional to 3,287.44, 4,930.42 and 946.94

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Solution

The fourth proportional to 3,287.44, 4,930.42 and 946.94 is: 1,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.44 : 4,930.42 = 946.94 : x
  2. Step 2: Convert to fraction form
    3,287.44/4,930.42 = 946.94/x
  3. Step 3: Cross multiply
    3,287.44x = 4,930.42 × 946.94
  4. Step 4: Simplify right side
    3,287.44x = 4,668,814.40
  5. Step 5: Solve for x
    x = 4,668,814.40/3,287.44
  6. Step 6: Final answer
    x = 1,420.20

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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.