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Finding the Fourth Proportional to 2,784.48, 4,171.92 and 1,958.88

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Solution

The fourth proportional to 2,784.48, 4,171.92 and 1,958.88 is: 2,934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.48 : 4,171.92 = 1,958.88 : x
  2. Step 2: Convert to fraction form
    2,784.48/4,171.92 = 1,958.88/x
  3. Step 3: Cross multiply
    2,784.48x = 4,171.92 × 1,958.88
  4. Step 4: Simplify right side
    2,784.48x = 8,172,290.65
  5. Step 5: Solve for x
    x = 8,172,290.65/2,784.48
  6. Step 6: Final answer
    x = 2,934.94

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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.