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Finding the Fourth Proportional to 21,463, 29,628.64 and 13,516.90

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Solution

The fourth proportional to 21,463, 29,628.64 and 13,516.90 is: 18,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463 : 29,628.64 = 13,516.90 : x
  2. Step 2: Convert to fraction form
    21,463/29,628.64 = 13,516.90/x
  3. Step 3: Cross multiply
    21,463x = 29,628.64 × 13,516.90
  4. Step 4: Simplify right side
    21,463x = 400,487,364.02
  5. Step 5: Solve for x
    x = 400,487,364.02/21,463
  6. Step 6: Final answer
    x = 18,659.43

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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.