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Finding the Fourth Proportional to 20,774.76, 28,669 and 11,343.31

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Solution

The fourth proportional to 20,774.76, 28,669 and 11,343.31 is: 15,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.76 : 28,669 = 11,343.31 : x
  2. Step 2: Convert to fraction form
    20,774.76/28,669 = 11,343.31/x
  3. Step 3: Cross multiply
    20,774.76x = 28,669 × 11,343.31
  4. Step 4: Simplify right side
    20,774.76x = 325,201,354.39
  5. Step 5: Solve for x
    x = 325,201,354.39/20,774.76
  6. Step 6: Final answer
    x = 15,653.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.