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Finding the Fourth Proportional to 21,816, 32,646.24 and 13,489.28

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Solution

The fourth proportional to 21,816, 32,646.24 and 13,489.28 is: 20,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816 : 32,646.24 = 13,489.28 : x
  2. Step 2: Convert to fraction form
    21,816/32,646.24 = 13,489.28/x
  3. Step 3: Cross multiply
    21,816x = 32,646.24 × 13,489.28
  4. Step 4: Simplify right side
    21,816x = 440,374,272.31
  5. Step 5: Solve for x
    x = 440,374,272.31/21,816
  6. Step 6: Final answer
    x = 20,185.84

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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.