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Finding the Fourth Proportional to 21,679, 29,917.10 and 11,743

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Solution

The fourth proportional to 21,679, 29,917.10 and 11,743 is: 16,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,679 : 29,917.10 = 11,743 : x
  2. Step 2: Convert to fraction form
    21,679/29,917.10 = 11,743/x
  3. Step 3: Cross multiply
    21,679x = 29,917.10 × 11,743
  4. Step 4: Simplify right side
    21,679x = 351,316,505.30
  5. Step 5: Solve for x
    x = 351,316,505.30/21,679
  6. Step 6: Final answer
    x = 16,205.38

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1.5x scale

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.