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Finding the Fourth Proportional to 15,686, 21,645.60 and 8,610.96

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Solution

The fourth proportional to 15,686, 21,645.60 and 8,610.96 is: 11,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686 : 21,645.60 = 8,610.96 : x
  2. Step 2: Convert to fraction form
    15,686/21,645.60 = 8,610.96/x
  3. Step 3: Cross multiply
    15,686x = 21,645.60 × 8,610.96
  4. Step 4: Simplify right side
    15,686x = 186,389,395.78
  5. Step 5: Solve for x
    x = 186,389,395.78/15,686
  6. Step 6: Final answer
    x = 11,882.53

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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.