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Finding the Fourth Proportional to 21,699, 29,944.80 and 11,763

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Solution

The fourth proportional to 21,699, 29,944.80 and 11,763 is: 16,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,699 : 29,944.80 = 11,763 : x
  2. Step 2: Convert to fraction form
    21,699/29,944.80 = 11,763/x
  3. Step 3: Cross multiply
    21,699x = 29,944.80 × 11,763
  4. Step 4: Simplify right side
    21,699x = 352,240,682.40
  5. Step 5: Solve for x
    x = 352,240,682.40/21,699
  6. Step 6: Final answer
    x = 16,233.04

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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.