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Finding the Fourth Proportional to 7,268, 10,905.94 and 5,627.75

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Solution

The fourth proportional to 7,268, 10,905.94 and 5,627.75 is: 8,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268 : 10,905.94 = 5,627.75 : x
  2. Step 2: Convert to fraction form
    7,268/10,905.94 = 5,627.75/x
  3. Step 3: Cross multiply
    7,268x = 10,905.94 × 5,627.75
  4. Step 4: Simplify right side
    7,268x = 61,375,903.84
  5. Step 5: Solve for x
    x = 61,375,903.84/7,268
  6. Step 6: Final answer
    x = 8,444.68

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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.