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Finding the Fourth Proportional to 11,393.78, 17,093.70 and 4,820.24

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Solution

The fourth proportional to 11,393.78, 17,093.70 and 4,820.24 is: 7,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.78 : 17,093.70 = 4,820.24 : x
  2. Step 2: Convert to fraction form
    11,393.78/17,093.70 = 4,820.24/x
  3. Step 3: Cross multiply
    11,393.78x = 17,093.70 × 4,820.24
  4. Step 4: Simplify right side
    11,393.78x = 82,395,736.49
  5. Step 5: Solve for x
    x = 82,395,736.49/11,393.78
  6. Step 6: Final answer
    x = 7,231.64

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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.