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Finding the Fourth Proportional to 10,943.70, 16,384.55 and 8,507.02

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Solution

The fourth proportional to 10,943.70, 16,384.55 and 8,507.02 is: 12,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.70 : 16,384.55 = 8,507.02 : x
  2. Step 2: Convert to fraction form
    10,943.70/16,384.55 = 8,507.02/x
  3. Step 3: Cross multiply
    10,943.70x = 16,384.55 × 8,507.02
  4. Step 4: Simplify right side
    10,943.70x = 139,383,694.54
  5. Step 5: Solve for x
    x = 139,383,694.54/10,943.70
  6. Step 6: Final answer
    x = 12,736.43

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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.