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Finding the Fourth Proportional to 5,189.67, 7,784.10 and 1,679.54

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Solution

The fourth proportional to 5,189.67, 7,784.10 and 1,679.54 is: 2,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.67 : 7,784.10 = 1,679.54 : x
  2. Step 2: Convert to fraction form
    5,189.67/7,784.10 = 1,679.54/x
  3. Step 3: Cross multiply
    5,189.67x = 7,784.10 × 1,679.54
  4. Step 4: Simplify right side
    5,189.67x = 13,073,668.39
  5. Step 5: Solve for x
    x = 13,073,668.39/5,189.67
  6. Step 6: Final answer
    x = 2,519.17

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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.