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Finding the Fourth Proportional to 11,505.88, 17,259.20 and 3,185.20

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Solution

The fourth proportional to 11,505.88, 17,259.20 and 3,185.20 is: 4,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.88 : 17,259.20 = 3,185.20 : x
  2. Step 2: Convert to fraction form
    11,505.88/17,259.20 = 3,185.20/x
  3. Step 3: Cross multiply
    11,505.88x = 17,259.20 × 3,185.20
  4. Step 4: Simplify right side
    11,505.88x = 54,974,003.84
  5. Step 5: Solve for x
    x = 54,974,003.84/11,505.88
  6. Step 6: Final answer
    x = 4,777.91

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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.