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Finding the Fourth Proportional to 21,663.68, 29,898 and 13,163.94

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Solution

The fourth proportional to 21,663.68, 29,898 and 13,163.94 is: 18,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,663.68 : 29,898 = 13,163.94 : x
  2. Step 2: Convert to fraction form
    21,663.68/29,898 = 13,163.94/x
  3. Step 3: Cross multiply
    21,663.68x = 29,898 × 13,163.94
  4. Step 4: Simplify right side
    21,663.68x = 393,575,478.12
  5. Step 5: Solve for x
    x = 393,575,478.12/21,663.68
  6. Step 6: Final answer
    x = 18,167.53

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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.