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Finding the Fourth Proportional to 8,142.81, 11,242.12 and 6,250.77

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Solution

The fourth proportional to 8,142.81, 11,242.12 and 6,250.77 is: 8,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.81 : 11,242.12 = 6,250.77 : x
  2. Step 2: Convert to fraction form
    8,142.81/11,242.12 = 6,250.77/x
  3. Step 3: Cross multiply
    8,142.81x = 11,242.12 × 6,250.77
  4. Step 4: Simplify right side
    8,142.81x = 70,271,906.43
  5. Step 5: Solve for x
    x = 70,271,906.43/8,142.81
  6. Step 6: Final answer
    x = 8,629.93

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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.