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Finding the Fourth Proportional to 21,824.64, 30,132 and 13,446

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Solution

The fourth proportional to 21,824.64, 30,132 and 13,446 is: 18,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.64 : 30,132 = 13,446 : x
  2. Step 2: Convert to fraction form
    21,824.64/30,132 = 13,446/x
  3. Step 3: Cross multiply
    21,824.64x = 30,132 × 13,446
  4. Step 4: Simplify right side
    21,824.64x = 405,154,872
  5. Step 5: Solve for x
    x = 405,154,872/21,824.64
  6. Step 6: Final answer
    x = 18,564.10

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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.