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Finding the Fourth Proportional to 3,751.68, 5,178 and 2,179.84

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Solution

The fourth proportional to 3,751.68, 5,178 and 2,179.84 is: 3,008.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.68 : 5,178 = 2,179.84 : x
  2. Step 2: Convert to fraction form
    3,751.68/5,178 = 2,179.84/x
  3. Step 3: Cross multiply
    3,751.68x = 5,178 × 2,179.84
  4. Step 4: Simplify right side
    3,751.68x = 11,287,211.52
  5. Step 5: Solve for x
    x = 11,287,211.52/3,751.68
  6. Step 6: Final answer
    x = 3,008.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.