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Finding the Fourth Proportional to 3,957.99, 5,934.80 and 1,619.64

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Solution

The fourth proportional to 3,957.99, 5,934.80 and 1,619.64 is: 2,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.99 : 5,934.80 = 1,619.64 : x
  2. Step 2: Convert to fraction form
    3,957.99/5,934.80 = 1,619.64/x
  3. Step 3: Cross multiply
    3,957.99x = 5,934.80 × 1,619.64
  4. Step 4: Simplify right side
    3,957.99x = 9,612,234.41
  5. Step 5: Solve for x
    x = 9,612,234.41/3,957.99
  6. Step 6: Final answer
    x = 2,428.56

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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.