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Finding the Fourth Proportional to 11,142.46, 16,713.69 and 5,295.88

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Solution

The fourth proportional to 11,142.46, 16,713.69 and 5,295.88 is: 7,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.46 : 16,713.69 = 5,295.88 : x
  2. Step 2: Convert to fraction form
    11,142.46/16,713.69 = 5,295.88/x
  3. Step 3: Cross multiply
    11,142.46x = 16,713.69 × 5,295.88
  4. Step 4: Simplify right side
    11,142.46x = 88,513,696.60
  5. Step 5: Solve for x
    x = 88,513,696.60/11,142.46
  6. Step 6: Final answer
    x = 7,943.82

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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.