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Finding the Fourth Proportional to 21,638, 32,429.02 and 11,099.28

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Solution

The fourth proportional to 21,638, 32,429.02 and 11,099.28 is: 16,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638 : 32,429.02 = 11,099.28 : x
  2. Step 2: Convert to fraction form
    21,638/32,429.02 = 11,099.28/x
  3. Step 3: Cross multiply
    21,638x = 32,429.02 × 11,099.28
  4. Step 4: Simplify right side
    21,638x = 359,938,773.11
  5. Step 5: Solve for x
    x = 359,938,773.11/21,638
  6. Step 6: Final answer
    x = 16,634.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.