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Finding the Fourth Proportional to 13,882.42, 20,814.37 and 7,645.39

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Solution

The fourth proportional to 13,882.42, 20,814.37 and 7,645.39 is: 11,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.42 : 20,814.37 = 7,645.39 : x
  2. Step 2: Convert to fraction form
    13,882.42/20,814.37 = 7,645.39/x
  3. Step 3: Cross multiply
    13,882.42x = 20,814.37 × 7,645.39
  4. Step 4: Simplify right side
    13,882.42x = 159,133,905.10
  5. Step 5: Solve for x
    x = 159,133,905.10/13,882.42
  6. Step 6: Final answer
    x = 11,462.98

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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.