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Finding the Fourth Proportional to 8,550, 11,808.72 and 5,750.64

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Solution

The fourth proportional to 8,550, 11,808.72 and 5,750.64 is: 7,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,550 : 11,808.72 = 5,750.64 : x
  2. Step 2: Convert to fraction form
    8,550/11,808.72 = 5,750.64/x
  3. Step 3: Cross multiply
    8,550x = 11,808.72 × 5,750.64
  4. Step 4: Simplify right side
    8,550x = 67,907,697.58
  5. Step 5: Solve for x
    x = 67,907,697.58/8,550
  6. Step 6: Final answer
    x = 7,942.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.