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Finding the Fourth Proportional to 13,424, 18,524.94 and 7,756.62

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Solution

The fourth proportional to 13,424, 18,524.94 and 7,756.62 is: 10,704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424 : 18,524.94 = 7,756.62 : x
  2. Step 2: Convert to fraction form
    13,424/18,524.94 = 7,756.62/x
  3. Step 3: Cross multiply
    13,424x = 18,524.94 × 7,756.62
  4. Step 4: Simplify right side
    13,424x = 143,690,920.10
  5. Step 5: Solve for x
    x = 143,690,920.10/13,424
  6. Step 6: Final answer
    x = 10,704.03

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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.