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Finding the Fourth Proportional to 11,886.72, 16,406.40 and 7,908

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Solution

The fourth proportional to 11,886.72, 16,406.40 and 7,908 is: 10,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.72 : 16,406.40 = 7,908 : x
  2. Step 2: Convert to fraction form
    11,886.72/16,406.40 = 7,908/x
  3. Step 3: Cross multiply
    11,886.72x = 16,406.40 × 7,908
  4. Step 4: Simplify right side
    11,886.72x = 129,741,811.20
  5. Step 5: Solve for x
    x = 129,741,811.20/11,886.72
  6. Step 6: Final answer
    x = 10,914.85

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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.