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Finding the Fourth Proportional to 10,791.72, 14,892.56 and 6,316.32

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Solution

The fourth proportional to 10,791.72, 14,892.56 and 6,316.32 is: 8,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.72 : 14,892.56 = 6,316.32 : x
  2. Step 2: Convert to fraction form
    10,791.72/14,892.56 = 6,316.32/x
  3. Step 3: Cross multiply
    10,791.72x = 14,892.56 × 6,316.32
  4. Step 4: Simplify right side
    10,791.72x = 94,066,174.58
  5. Step 5: Solve for x
    x = 94,066,174.58/10,791.72
  6. Step 6: Final answer
    x = 8,716.51

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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.