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Finding the Fourth Proportional to 7,144.87, 10,733.78 and 6,849.63

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Solution

The fourth proportional to 7,144.87, 10,733.78 and 6,849.63 is: 10,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.87 : 10,733.78 = 6,849.63 : x
  2. Step 2: Convert to fraction form
    7,144.87/10,733.78 = 6,849.63/x
  3. Step 3: Cross multiply
    7,144.87x = 10,733.78 × 6,849.63
  4. Step 4: Simplify right side
    7,144.87x = 73,522,387.25
  5. Step 5: Solve for x
    x = 73,522,387.25/7,144.87
  6. Step 6: Final answer
    x = 10,290.23

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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.