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Finding the Fourth Proportional to 21,681, 29,919.96 and 11,745

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Solution

The fourth proportional to 21,681, 29,919.96 and 11,745 is: 16,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681 : 29,919.96 = 11,745 : x
  2. Step 2: Convert to fraction form
    21,681/29,919.96 = 11,745/x
  3. Step 3: Cross multiply
    21,681x = 29,919.96 × 11,745
  4. Step 4: Simplify right side
    21,681x = 351,409,930.20
  5. Step 5: Solve for x
    x = 351,409,930.20/21,681
  6. Step 6: Final answer
    x = 16,208.20

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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.