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Finding the Fourth Proportional to 11,192.56, 15,437.28 and 7,409.08

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Solution

The fourth proportional to 11,192.56, 15,437.28 and 7,409.08 is: 10,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.56 : 15,437.28 = 7,409.08 : x
  2. Step 2: Convert to fraction form
    11,192.56/15,437.28 = 7,409.08/x
  3. Step 3: Cross multiply
    11,192.56x = 15,437.28 × 7,409.08
  4. Step 4: Simplify right side
    11,192.56x = 114,376,042.50
  5. Step 5: Solve for x
    x = 114,376,042.50/11,192.56
  6. Step 6: Final answer
    x = 10,218.93

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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.