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Finding the Fourth Proportional to 21,602.56, 32,408.36 and 9,122.62

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Solution

The fourth proportional to 21,602.56, 32,408.36 and 9,122.62 is: 13,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.56 : 32,408.36 = 9,122.62 : x
  2. Step 2: Convert to fraction form
    21,602.56/32,408.36 = 9,122.62/x
  3. Step 3: Cross multiply
    21,602.56x = 32,408.36 × 9,122.62
  4. Step 4: Simplify right side
    21,602.56x = 295,649,153.10
  5. Step 5: Solve for x
    x = 295,649,153.10/21,602.56
  6. Step 6: Final answer
    x = 13,685.84

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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.