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Finding the Fourth Proportional to 14,408.63, 19,884.21 and 8,121

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Solution

The fourth proportional to 14,408.63, 19,884.21 and 8,121 is: 11,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.63 : 19,884.21 = 8,121 : x
  2. Step 2: Convert to fraction form
    14,408.63/19,884.21 = 8,121/x
  3. Step 3: Cross multiply
    14,408.63x = 19,884.21 × 8,121
  4. Step 4: Simplify right side
    14,408.63x = 161,479,669.41
  5. Step 5: Solve for x
    x = 161,479,669.41/14,408.63
  6. Step 6: Final answer
    x = 11,207.15

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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.