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Finding the Fourth Proportional to 11,611.44, 16,015.68 and 7,631.28

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Solution

The fourth proportional to 11,611.44, 16,015.68 and 7,631.28 is: 10,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.44 : 16,015.68 = 7,631.28 : x
  2. Step 2: Convert to fraction form
    11,611.44/16,015.68 = 7,631.28/x
  3. Step 3: Cross multiply
    11,611.44x = 16,015.68 × 7,631.28
  4. Step 4: Simplify right side
    11,611.44x = 122,220,138.47
  5. Step 5: Solve for x
    x = 122,220,138.47/11,611.44
  6. Step 6: Final answer
    x = 10,525.84

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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.