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Finding the Fourth Proportional to 21,536, 29,719.68 and 12,704

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Solution

The fourth proportional to 21,536, 29,719.68 and 12,704 is: 17,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536 : 29,719.68 = 12,704 : x
  2. Step 2: Convert to fraction form
    21,536/29,719.68 = 12,704/x
  3. Step 3: Cross multiply
    21,536x = 29,719.68 × 12,704
  4. Step 4: Simplify right side
    21,536x = 377,558,814.72
  5. Step 5: Solve for x
    x = 377,558,814.72/21,536
  6. Step 6: Final answer
    x = 17,531.52

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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.