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Finding the Fourth Proportional to 3,752.67, 5,628.14 and 1,119.94

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Solution

The fourth proportional to 3,752.67, 5,628.14 and 1,119.94 is: 1,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.67 : 5,628.14 = 1,119.94 : x
  2. Step 2: Convert to fraction form
    3,752.67/5,628.14 = 1,119.94/x
  3. Step 3: Cross multiply
    3,752.67x = 5,628.14 × 1,119.94
  4. Step 4: Simplify right side
    3,752.67x = 6,303,179.11
  5. Step 5: Solve for x
    x = 6,303,179.11/3,752.67
  6. Step 6: Final answer
    x = 1,679.65

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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.