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Finding the Fourth Proportional to 14,428.73, 21,623.96 and 7,408.46

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Solution

The fourth proportional to 14,428.73, 21,623.96 and 7,408.46 is: 11,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.73 : 21,623.96 = 7,408.46 : x
  2. Step 2: Convert to fraction form
    14,428.73/21,623.96 = 7,408.46/x
  3. Step 3: Cross multiply
    14,428.73x = 21,623.96 × 7,408.46
  4. Step 4: Simplify right side
    14,428.73x = 160,200,315.28
  5. Step 5: Solve for x
    x = 160,200,315.28/14,428.73
  6. Step 6: Final answer
    x = 11,102.87

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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.