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Finding the Fourth Proportional to 11,889.82, 16,393.02 and 7,633.36

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Solution

The fourth proportional to 11,889.82, 16,393.02 and 7,633.36 is: 10,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.82 : 16,393.02 = 7,633.36 : x
  2. Step 2: Convert to fraction form
    11,889.82/16,393.02 = 7,633.36/x
  3. Step 3: Cross multiply
    11,889.82x = 16,393.02 × 7,633.36
  4. Step 4: Simplify right side
    11,889.82x = 125,133,741.18
  5. Step 5: Solve for x
    x = 125,133,741.18/11,889.82
  6. Step 6: Final answer
    x = 10,524.45

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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.