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Finding the Fourth Proportional to 8,682.81, 11,983.19 and 5,146.35

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Solution

The fourth proportional to 8,682.81, 11,983.19 and 5,146.35 is: 7,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.81 : 11,983.19 = 5,146.35 : x
  2. Step 2: Convert to fraction form
    8,682.81/11,983.19 = 5,146.35/x
  3. Step 3: Cross multiply
    8,682.81x = 11,983.19 × 5,146.35
  4. Step 4: Simplify right side
    8,682.81x = 61,669,664.12
  5. Step 5: Solve for x
    x = 61,669,664.12/8,682.81
  6. Step 6: Final answer
    x = 7,102.50

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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.