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Finding the Fourth Proportional to 12,851.72, 17,735.52 and 7,186.88

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Solution

The fourth proportional to 12,851.72, 17,735.52 and 7,186.88 is: 9,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.72 : 17,735.52 = 7,186.88 : x
  2. Step 2: Convert to fraction form
    12,851.72/17,735.52 = 7,186.88/x
  3. Step 3: Cross multiply
    12,851.72x = 17,735.52 × 7,186.88
  4. Step 4: Simplify right side
    12,851.72x = 127,463,053.98
  5. Step 5: Solve for x
    x = 127,463,053.98/12,851.72
  6. Step 6: Final answer
    x = 9,917.98

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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.