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Finding the Fourth Proportional to 11,022.74, 15,203.82 and 7,042.08

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Solution

The fourth proportional to 11,022.74, 15,203.82 and 7,042.08 is: 9,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.74 : 15,203.82 = 7,042.08 : x
  2. Step 2: Convert to fraction form
    11,022.74/15,203.82 = 7,042.08/x
  3. Step 3: Cross multiply
    11,022.74x = 15,203.82 × 7,042.08
  4. Step 4: Simplify right side
    11,022.74x = 107,066,516.75
  5. Step 5: Solve for x
    x = 107,066,516.75/11,022.74
  6. Step 6: Final answer
    x = 9,713.24

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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.