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Finding the Fourth Proportional to 22,636.96, 31,237.28 and 13,204.32

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Solution

The fourth proportional to 22,636.96, 31,237.28 and 13,204.32 is: 18,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.96 : 31,237.28 = 13,204.32 : x
  2. Step 2: Convert to fraction form
    22,636.96/31,237.28 = 13,204.32/x
  3. Step 3: Cross multiply
    22,636.96x = 31,237.28 × 13,204.32
  4. Step 4: Simplify right side
    22,636.96x = 412,467,041.05
  5. Step 5: Solve for x
    x = 412,467,041.05/22,636.96
  6. Step 6: Final answer
    x = 18,220.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.