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Finding the Fourth Proportional to 21,649, 29,875.64 and 11,713

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Solution

The fourth proportional to 21,649, 29,875.64 and 11,713 is: 16,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649 : 29,875.64 = 11,713 : x
  2. Step 2: Convert to fraction form
    21,649/29,875.64 = 11,713/x
  3. Step 3: Cross multiply
    21,649x = 29,875.64 × 11,713
  4. Step 4: Simplify right side
    21,649x = 349,933,371.32
  5. Step 5: Solve for x
    x = 349,933,371.32/21,649
  6. Step 6: Final answer
    x = 16,163.95

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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.