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Finding the Fourth Proportional to 11,891.93, 16,424.64 and 7,906.14

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Solution

The fourth proportional to 11,891.93, 16,424.64 and 7,906.14 is: 10,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.93 : 16,424.64 = 7,906.14 : x
  2. Step 2: Convert to fraction form
    11,891.93/16,424.64 = 7,906.14/x
  3. Step 3: Cross multiply
    11,891.93x = 16,424.64 × 7,906.14
  4. Step 4: Simplify right side
    11,891.93x = 129,855,503.29
  5. Step 5: Solve for x
    x = 129,855,503.29/11,891.93
  6. Step 6: Final answer
    x = 10,919.64

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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.