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Finding the Fourth Proportional to 3,179.98, 4,769.17 and 1,424.00

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Solution

The fourth proportional to 3,179.98, 4,769.17 and 1,424.00 is: 2,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.98 : 4,769.17 = 1,424.00 : x
  2. Step 2: Convert to fraction form
    3,179.98/4,769.17 = 1,424.00/x
  3. Step 3: Cross multiply
    3,179.98x = 4,769.17 × 1,424.00
  4. Step 4: Simplify right side
    3,179.98x = 6,791,306.44
  5. Step 5: Solve for x
    x = 6,791,306.44/3,179.98
  6. Step 6: Final answer
    x = 2,135.64

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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.