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Finding the Fourth Proportional to 11,866.32, 17,796.88 and 7,636.80

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Solution

The fourth proportional to 11,866.32, 17,796.88 and 7,636.80 is: 11,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.32 : 17,796.88 = 7,636.80 : x
  2. Step 2: Convert to fraction form
    11,866.32/17,796.88 = 7,636.80/x
  3. Step 3: Cross multiply
    11,866.32x = 17,796.88 × 7,636.80
  4. Step 4: Simplify right side
    11,866.32x = 135,911,213.18
  5. Step 5: Solve for x
    x = 135,911,213.18/11,866.32
  6. Step 6: Final answer
    x = 11,453.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.