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Finding the Fourth Proportional to 3,179.84, 4,764 and 2,847.68

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Solution

The fourth proportional to 3,179.84, 4,764 and 2,847.68 is: 4,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.84 : 4,764 = 2,847.68 : x
  2. Step 2: Convert to fraction form
    3,179.84/4,764 = 2,847.68/x
  3. Step 3: Cross multiply
    3,179.84x = 4,764 × 2,847.68
  4. Step 4: Simplify right side
    3,179.84x = 13,566,347.52
  5. Step 5: Solve for x
    x = 13,566,347.52/3,179.84
  6. Step 6: Final answer
    x = 4,266.36

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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.