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Finding the Fourth Proportional to 8,126.01, 12,185.12 and 5,162.82

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Solution

The fourth proportional to 8,126.01, 12,185.12 and 5,162.82 is: 7,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.01 : 12,185.12 = 5,162.82 : x
  2. Step 2: Convert to fraction form
    8,126.01/12,185.12 = 5,162.82/x
  3. Step 3: Cross multiply
    8,126.01x = 12,185.12 × 5,162.82
  4. Step 4: Simplify right side
    8,126.01x = 62,909,555.42
  5. Step 5: Solve for x
    x = 62,909,555.42/8,126.01
  6. Step 6: Final answer
    x = 7,741.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.