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Finding the Fourth Proportional to 22,159.96, 30,567 and 13,201.36

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Solution

The fourth proportional to 22,159.96, 30,567 and 13,201.36 is: 18,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.96 : 30,567 = 13,201.36 : x
  2. Step 2: Convert to fraction form
    22,159.96/30,567 = 13,201.36/x
  3. Step 3: Cross multiply
    22,159.96x = 30,567 × 13,201.36
  4. Step 4: Simplify right side
    22,159.96x = 403,525,971.12
  5. Step 5: Solve for x
    x = 403,525,971.12/22,159.96
  6. Step 6: Final answer
    x = 18,209.69

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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.