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Finding the Fourth Proportional to 11,671.76, 16,087.56 and 7,939.28

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Solution

The fourth proportional to 11,671.76, 16,087.56 and 7,939.28 is: 10,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.76 : 16,087.56 = 7,939.28 : x
  2. Step 2: Convert to fraction form
    11,671.76/16,087.56 = 7,939.28/x
  3. Step 3: Cross multiply
    11,671.76x = 16,087.56 × 7,939.28
  4. Step 4: Simplify right side
    11,671.76x = 127,723,643.36
  5. Step 5: Solve for x
    x = 127,723,643.36/11,671.76
  6. Step 6: Final answer
    x = 10,942.96

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1.5x scale

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.