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Finding the Fourth Proportional to 7,110.43, 10,661.09 and 2,953.31

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Solution

The fourth proportional to 7,110.43, 10,661.09 and 2,953.31 is: 4,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.43 : 10,661.09 = 2,953.31 : x
  2. Step 2: Convert to fraction form
    7,110.43/10,661.09 = 2,953.31/x
  3. Step 3: Cross multiply
    7,110.43x = 10,661.09 × 2,953.31
  4. Step 4: Simplify right side
    7,110.43x = 31,485,435.64
  5. Step 5: Solve for x
    x = 31,485,435.64/7,110.43
  6. Step 6: Final answer
    x = 4,428.07

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Why These Related Problems?

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