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Finding the Fourth Proportional to 22,909.12, 31,614.68 and 13,354.67

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Solution

The fourth proportional to 22,909.12, 31,614.68 and 13,354.67 is: 18,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.12 : 31,614.68 = 13,354.67 : x
  2. Step 2: Convert to fraction form
    22,909.12/31,614.68 = 13,354.67/x
  3. Step 3: Cross multiply
    22,909.12x = 31,614.68 × 13,354.67
  4. Step 4: Simplify right side
    22,909.12x = 422,203,618.56
  5. Step 5: Solve for x
    x = 422,203,618.56/22,909.12
  6. Step 6: Final answer
    x = 18,429.50

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