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Finding the Fourth Proportional to 13,577.52, 18,736.74 and 7,609.17

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Solution

The fourth proportional to 13,577.52, 18,736.74 and 7,609.17 is: 10,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.52 : 18,736.74 = 7,609.17 : x
  2. Step 2: Convert to fraction form
    13,577.52/18,736.74 = 7,609.17/x
  3. Step 3: Cross multiply
    13,577.52x = 18,736.74 × 7,609.17
  4. Step 4: Simplify right side
    13,577.52x = 142,571,039.91
  5. Step 5: Solve for x
    x = 142,571,039.91/13,577.52
  6. Step 6: Final answer
    x = 10,500.52

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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.