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Finding the Fourth Proportional to 7,891.25, 11,842.43 and 7,137.54

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Solution

The fourth proportional to 7,891.25, 11,842.43 and 7,137.54 is: 10,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.25 : 11,842.43 = 7,137.54 : x
  2. Step 2: Convert to fraction form
    7,891.25/11,842.43 = 7,137.54/x
  3. Step 3: Cross multiply
    7,891.25x = 11,842.43 × 7,137.54
  4. Step 4: Simplify right side
    7,891.25x = 84,525,722.92
  5. Step 5: Solve for x
    x = 84,525,722.92/7,891.25
  6. Step 6: Final answer
    x = 10,711.32

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1.5x scale

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.