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Finding the Fourth Proportional to 11,362.56, 17,029.12 and 9,172.16

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Solution

The fourth proportional to 11,362.56, 17,029.12 and 9,172.16 is: 13,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.56 : 17,029.12 = 9,172.16 : x
  2. Step 2: Convert to fraction form
    11,362.56/17,029.12 = 9,172.16/x
  3. Step 3: Cross multiply
    11,362.56x = 17,029.12 × 9,172.16
  4. Step 4: Simplify right side
    11,362.56x = 156,193,813.30
  5. Step 5: Solve for x
    x = 156,193,813.30/11,362.56
  6. Step 6: Final answer
    x = 13,746.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.