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Finding the Fourth Proportional to 10,765.74, 16,145.66 and 6,811.05

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Solution

The fourth proportional to 10,765.74, 16,145.66 and 6,811.05 is: 10,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.74 : 16,145.66 = 6,811.05 : x
  2. Step 2: Convert to fraction form
    10,765.74/16,145.66 = 6,811.05/x
  3. Step 3: Cross multiply
    10,765.74x = 16,145.66 × 6,811.05
  4. Step 4: Simplify right side
    10,765.74x = 109,968,975.12
  5. Step 5: Solve for x
    x = 109,968,975.12/10,765.74
  6. Step 6: Final answer
    x = 10,214.71

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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.