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Finding the Fourth Proportional to 14,324.12, 21,492.34 and 7,755

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Solution

The fourth proportional to 14,324.12, 21,492.34 and 7,755 is: 11,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.12 : 21,492.34 = 7,755 : x
  2. Step 2: Convert to fraction form
    14,324.12/21,492.34 = 7,755/x
  3. Step 3: Cross multiply
    14,324.12x = 21,492.34 × 7,755
  4. Step 4: Simplify right side
    14,324.12x = 166,673,096.70
  5. Step 5: Solve for x
    x = 166,673,096.70/14,324.12
  6. Step 6: Final answer
    x = 11,635.83

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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.