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Finding the Fourth Proportional to 13,755.48, 20,614.75 and 7,506.13

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Solution

The fourth proportional to 13,755.48, 20,614.75 and 7,506.13 is: 11,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.48 : 20,614.75 = 7,506.13 : x
  2. Step 2: Convert to fraction form
    13,755.48/20,614.75 = 7,506.13/x
  3. Step 3: Cross multiply
    13,755.48x = 20,614.75 × 7,506.13
  4. Step 4: Simplify right side
    13,755.48x = 154,736,993.42
  5. Step 5: Solve for x
    x = 154,736,993.42/13,755.48
  6. Step 6: Final answer
    x = 11,249.12

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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.