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Finding the Fourth Proportional to 15,722, 21,709.32 and 13,755.32

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Solution

The fourth proportional to 15,722, 21,709.32 and 13,755.32 is: 18,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722 : 21,709.32 = 13,755.32 : x
  2. Step 2: Convert to fraction form
    15,722/21,709.32 = 13,755.32/x
  3. Step 3: Cross multiply
    15,722x = 21,709.32 × 13,755.32
  4. Step 4: Simplify right side
    15,722x = 298,618,643.58
  5. Step 5: Solve for x
    x = 298,618,643.58/15,722
  6. Step 6: Final answer
    x = 18,993.68

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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.