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Finding the Fourth Proportional to 15,755.13, 21,742.53 and 8,682.00

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Solution

The fourth proportional to 15,755.13, 21,742.53 and 8,682.00 is: 11,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.13 : 21,742.53 = 8,682.00 : x
  2. Step 2: Convert to fraction form
    15,755.13/21,742.53 = 8,682.00/x
  3. Step 3: Cross multiply
    15,755.13x = 21,742.53 × 8,682.00
  4. Step 4: Simplify right side
    15,755.13x = 188,768,699.82
  5. Step 5: Solve for x
    x = 188,768,699.82/15,755.13
  6. Step 6: Final answer
    x = 11,981.42

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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.