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Finding the Fourth Proportional to 10,164.56, 15,249.72 and 4,322

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Solution

The fourth proportional to 10,164.56, 15,249.72 and 4,322 is: 6,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.56 : 15,249.72 = 4,322 : x
  2. Step 2: Convert to fraction form
    10,164.56/15,249.72 = 4,322/x
  3. Step 3: Cross multiply
    10,164.56x = 15,249.72 × 4,322
  4. Step 4: Simplify right side
    10,164.56x = 65,909,289.84
  5. Step 5: Solve for x
    x = 65,909,289.84/10,164.56
  6. Step 6: Final answer
    x = 6,484.22

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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.