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Finding the Fourth Proportional to 3,751.85, 5,628.38 and 1,154.79

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Solution

The fourth proportional to 3,751.85, 5,628.38 and 1,154.79 is: 1,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.85 : 5,628.38 = 1,154.79 : x
  2. Step 2: Convert to fraction form
    3,751.85/5,628.38 = 1,154.79/x
  3. Step 3: Cross multiply
    3,751.85x = 5,628.38 × 1,154.79
  4. Step 4: Simplify right side
    3,751.85x = 6,499,596.94
  5. Step 5: Solve for x
    x = 6,499,596.94/3,751.85
  6. Step 6: Final answer
    x = 1,732.37

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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.