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Finding the Fourth Proportional to 14,544, 21,816 and 4,684.28

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Solution

The fourth proportional to 14,544, 21,816 and 4,684.28 is: 7,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544 : 21,816 = 4,684.28 : x
  2. Step 2: Convert to fraction form
    14,544/21,816 = 4,684.28/x
  3. Step 3: Cross multiply
    14,544x = 21,816 × 4,684.28
  4. Step 4: Simplify right side
    14,544x = 102,192,143.40
  5. Step 5: Solve for x
    x = 102,192,143.40/14,544
  6. Step 6: Final answer
    x = 7,026.41

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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.