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Finding the Fourth Proportional to 11,966, 16,507.41 and 8,431.16

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Solution

The fourth proportional to 11,966, 16,507.41 and 8,431.16 is: 11,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966 : 16,507.41 = 8,431.16 : x
  2. Step 2: Convert to fraction form
    11,966/16,507.41 = 8,431.16/x
  3. Step 3: Cross multiply
    11,966x = 16,507.41 × 8,431.16
  4. Step 4: Simplify right side
    11,966x = 139,176,614.90
  5. Step 5: Solve for x
    x = 139,176,614.90/11,966
  6. Step 6: Final answer
    x = 11,631.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.