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Finding the Fourth Proportional to 21,716, 29,953.80 and 17,232.64

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Solution

The fourth proportional to 21,716, 29,953.80 and 17,232.64 is: 23,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716 : 29,953.80 = 17,232.64 : x
  2. Step 2: Convert to fraction form
    21,716/29,953.80 = 17,232.64/x
  3. Step 3: Cross multiply
    21,716x = 29,953.80 × 17,232.64
  4. Step 4: Simplify right side
    21,716x = 516,183,052.03
  5. Step 5: Solve for x
    x = 516,183,052.03/21,716
  6. Step 6: Final answer
    x = 23,769.71

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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.