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Finding the Fourth Proportional to 14,214, 19,614.90 and 8,245.26

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Solution

The fourth proportional to 14,214, 19,614.90 and 8,245.26 is: 11,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214 : 19,614.90 = 8,245.26 : x
  2. Step 2: Convert to fraction form
    14,214/19,614.90 = 8,245.26/x
  3. Step 3: Cross multiply
    14,214x = 19,614.90 × 8,245.26
  4. Step 4: Simplify right side
    14,214x = 161,729,950.37
  5. Step 5: Solve for x
    x = 161,729,950.37/14,214
  6. Step 6: Final answer
    x = 11,378.22

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Why These Related Problems?

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