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Finding the Fourth Proportional to 12,102.72, 16,699.93 and 6,796.51

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Solution

The fourth proportional to 12,102.72, 16,699.93 and 6,796.51 is: 9,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.72 : 16,699.93 = 6,796.51 : x
  2. Step 2: Convert to fraction form
    12,102.72/16,699.93 = 6,796.51/x
  3. Step 3: Cross multiply
    12,102.72x = 16,699.93 × 6,796.51
  4. Step 4: Simplify right side
    12,102.72x = 113,501,241.24
  5. Step 5: Solve for x
    x = 113,501,241.24/12,102.72
  6. Step 6: Final answer
    x = 9,378.16

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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.