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Finding the Fourth Proportional to 10,086, 13,920.60 and 5,670

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Solution

The fourth proportional to 10,086, 13,920.60 and 5,670 is: 7,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086 : 13,920.60 = 5,670 : x
  2. Step 2: Convert to fraction form
    10,086/13,920.60 = 5,670/x
  3. Step 3: Cross multiply
    10,086x = 13,920.60 × 5,670
  4. Step 4: Simplify right side
    10,086x = 78,929,802
  5. Step 5: Solve for x
    x = 78,929,802/10,086
  6. Step 6: Final answer
    x = 7,825.68

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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.