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Finding the Fourth Proportional to 13,664, 20,494.16 and 5,338.22

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Solution

The fourth proportional to 13,664, 20,494.16 and 5,338.22 is: 8,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664 : 20,494.16 = 5,338.22 : x
  2. Step 2: Convert to fraction form
    13,664/20,494.16 = 5,338.22/x
  3. Step 3: Cross multiply
    13,664x = 20,494.16 × 5,338.22
  4. Step 4: Simplify right side
    13,664x = 109,402,334.80
  5. Step 5: Solve for x
    x = 109,402,334.80/13,664
  6. Step 6: Final answer
    x = 8,006.61

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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.