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Finding the Fourth Proportional to 5,171.67, 7,128.72 and 4,742.64

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Solution

The fourth proportional to 5,171.67, 7,128.72 and 4,742.64 is: 6,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.67 : 7,128.72 = 4,742.64 : x
  2. Step 2: Convert to fraction form
    5,171.67/7,128.72 = 4,742.64/x
  3. Step 3: Cross multiply
    5,171.67x = 7,128.72 × 4,742.64
  4. Step 4: Simplify right side
    5,171.67x = 33,808,952.62
  5. Step 5: Solve for x
    x = 33,808,952.62/5,171.67
  6. Step 6: Final answer
    x = 6,537.34

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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.