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Finding the Fourth Proportional to 11,745.81, 17,596.64 and 5,815.80

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Solution

The fourth proportional to 11,745.81, 17,596.64 and 5,815.80 is: 8,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.81 : 17,596.64 = 5,815.80 : x
  2. Step 2: Convert to fraction form
    11,745.81/17,596.64 = 5,815.80/x
  3. Step 3: Cross multiply
    11,745.81x = 17,596.64 × 5,815.80
  4. Step 4: Simplify right side
    11,745.81x = 102,338,553.45
  5. Step 5: Solve for x
    x = 102,338,553.45/11,745.81
  6. Step 6: Final answer
    x = 8,712.77

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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.