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Finding the Fourth Proportional to 10,775.62, 16,128.80 and 5,765.49

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Solution

The fourth proportional to 10,775.62, 16,128.80 and 5,765.49 is: 8,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.62 : 16,128.80 = 5,765.49 : x
  2. Step 2: Convert to fraction form
    10,775.62/16,128.80 = 5,765.49/x
  3. Step 3: Cross multiply
    10,775.62x = 16,128.80 × 5,765.49
  4. Step 4: Simplify right side
    10,775.62x = 92,990,435.11
  5. Step 5: Solve for x
    x = 92,990,435.11/10,775.62
  6. Step 6: Final answer
    x = 8,629.71

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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.