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Finding the Fourth Proportional to 7,745.54, 11,618.10 and 2,815.27

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Solution

The fourth proportional to 7,745.54, 11,618.10 and 2,815.27 is: 4,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.54 : 11,618.10 = 2,815.27 : x
  2. Step 2: Convert to fraction form
    7,745.54/11,618.10 = 2,815.27/x
  3. Step 3: Cross multiply
    7,745.54x = 11,618.10 × 2,815.27
  4. Step 4: Simplify right side
    7,745.54x = 32,708,059.34
  5. Step 5: Solve for x
    x = 32,708,059.34/7,745.54
  6. Step 6: Final answer
    x = 4,222.83

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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.