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Finding the Fourth Proportional to 11,617.36, 16,006.92 and 7,884.88

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Solution

The fourth proportional to 11,617.36, 16,006.92 and 7,884.88 is: 10,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.36 : 16,006.92 = 7,884.88 : x
  2. Step 2: Convert to fraction form
    11,617.36/16,006.92 = 7,884.88/x
  3. Step 3: Cross multiply
    11,617.36x = 16,006.92 × 7,884.88
  4. Step 4: Simplify right side
    11,617.36x = 126,212,643.37
  5. Step 5: Solve for x
    x = 126,212,643.37/11,617.36
  6. Step 6: Final answer
    x = 10,864.14

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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.