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Finding the Fourth Proportional to 3,751.61, 5,171.73 and 2,629.16

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Solution

The fourth proportional to 3,751.61, 5,171.73 and 2,629.16 is: 3,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.61 : 5,171.73 = 2,629.16 : x
  2. Step 2: Convert to fraction form
    3,751.61/5,171.73 = 2,629.16/x
  3. Step 3: Cross multiply
    3,751.61x = 5,171.73 × 2,629.16
  4. Step 4: Simplify right side
    3,751.61x = 13,597,279.79
  5. Step 5: Solve for x
    x = 13,597,279.79/3,751.61
  6. Step 6: Final answer
    x = 3,624.39

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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.