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Finding the Fourth Proportional to 3,287.20, 4,929.58 and 946.41

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Solution

The fourth proportional to 3,287.20, 4,929.58 and 946.41 is: 1,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.20 : 4,929.58 = 946.41 : x
  2. Step 2: Convert to fraction form
    3,287.20/4,929.58 = 946.41/x
  3. Step 3: Cross multiply
    3,287.20x = 4,929.58 × 946.41
  4. Step 4: Simplify right side
    3,287.20x = 4,665,414.23
  5. Step 5: Solve for x
    x = 4,665,414.23/3,287.20
  6. Step 6: Final answer
    x = 1,419.27

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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.