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Finding the Fourth Proportional to 13,896.96, 19,178.24 and 7,609.28

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Solution

The fourth proportional to 13,896.96, 19,178.24 and 7,609.28 is: 10,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.96 : 19,178.24 = 7,609.28 : x
  2. Step 2: Convert to fraction form
    13,896.96/19,178.24 = 7,609.28/x
  3. Step 3: Cross multiply
    13,896.96x = 19,178.24 × 7,609.28
  4. Step 4: Simplify right side
    13,896.96x = 145,932,598.07
  5. Step 5: Solve for x
    x = 145,932,598.07/13,896.96
  6. Step 6: Final answer
    x = 10,501.04

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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.