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Finding the Fourth Proportional to 7,201.09, 9,942.09 and 5,877.95

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Solution

The fourth proportional to 7,201.09, 9,942.09 and 5,877.95 is: 8,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.09 : 9,942.09 = 5,877.95 : x
  2. Step 2: Convert to fraction form
    7,201.09/9,942.09 = 5,877.95/x
  3. Step 3: Cross multiply
    7,201.09x = 9,942.09 × 5,877.95
  4. Step 4: Simplify right side
    7,201.09x = 58,439,107.92
  5. Step 5: Solve for x
    x = 58,439,107.92/7,201.09
  6. Step 6: Final answer
    x = 8,115.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.