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Finding the Fourth Proportional to 12,462.12, 17,184.50 and 7,986.06

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Solution

The fourth proportional to 12,462.12, 17,184.50 and 7,986.06 is: 11,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.12 : 17,184.50 = 7,986.06 : x
  2. Step 2: Convert to fraction form
    12,462.12/17,184.50 = 7,986.06/x
  3. Step 3: Cross multiply
    12,462.12x = 17,184.50 × 7,986.06
  4. Step 4: Simplify right side
    12,462.12x = 137,236,448.07
  5. Step 5: Solve for x
    x = 137,236,448.07/12,462.12
  6. Step 6: Final answer
    x = 11,012.29

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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.