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Finding the Fourth Proportional to 21,602, 32,379.96 and 11,199.44

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Solution

The fourth proportional to 21,602, 32,379.96 and 11,199.44 is: 16,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602 : 32,379.96 = 11,199.44 : x
  2. Step 2: Convert to fraction form
    21,602/32,379.96 = 11,199.44/x
  3. Step 3: Cross multiply
    21,602x = 32,379.96 × 11,199.44
  4. Step 4: Simplify right side
    21,602x = 362,637,419.22
  5. Step 5: Solve for x
    x = 362,637,419.22/21,602
  6. Step 6: Final answer
    x = 16,787.22

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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.